Solve 4453.20=x(1+5/100)(1+8/100)(1+10/100)

$$4453.20=x(1+ \frac{ 5 }{ 100 } )(1+ \frac{ 8 }{ 100 } )(1+ \frac{ 10 }{ 100 } )$$

Solve for x

$$x = \frac{2474000}{693} = 3569\frac{683}{693} \approx 3569.985569986$$

Steps for Solving Linear Equation

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$4453.2=x\left(1+\frac{1}{20}\right)\left(1+\frac{8}{100}\right)\left(1+\frac{10}{100}\right)$$

Convert 1 to fraction \frac{20}{20}.

$$4453.2=x\left(\frac{20}{20}+\frac{1}{20}\right)\left(1+\frac{8}{100}\right)\left(1+\frac{10}{100}\right)$$

Since \frac{20}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$4453.2=x\times \frac{20+1}{20}\left(1+\frac{8}{100}\right)\left(1+\frac{10}{100}\right)$$

Add 20 and 1 to get 21.

$$4453.2=x\times \frac{21}{20}\left(1+\frac{8}{100}\right)\left(1+\frac{10}{100}\right)$$

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$4453.2=x\times \frac{21}{20}\left(1+\frac{2}{25}\right)\left(1+\frac{10}{100}\right)$$

Convert 1 to fraction \frac{25}{25}.

$$4453.2=x\times \frac{21}{20}\left(\frac{25}{25}+\frac{2}{25}\right)\left(1+\frac{10}{100}\right)$$

Since \frac{25}{25} and \frac{2}{25} have the same denominator, add them by adding their numerators.

$$4453.2=x\times \frac{21}{20}\times \frac{25+2}{25}\left(1+\frac{10}{100}\right)$$

Add 25 and 2 to get 27.

$$4453.2=x\times \frac{21}{20}\times \frac{27}{25}\left(1+\frac{10}{100}\right)$$

Multiply \frac{21}{20} times \frac{27}{25} by multiplying numerator times numerator and denominator times denominator.

$$4453.2=x\times \frac{21\times 27}{20\times 25}\left(1+\frac{10}{100}\right)$$

Do the multiplications in the fraction \frac{21\times 27}{20\times 25}.

$$4453.2=x\times \frac{567}{500}\left(1+\frac{10}{100}\right)$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$4453.2=x\times \frac{567}{500}\left(1+\frac{1}{10}\right)$$

Convert 1 to fraction \frac{10}{10}.

$$4453.2=x\times \frac{567}{500}\left(\frac{10}{10}+\frac{1}{10}\right)$$

Since \frac{10}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$4453.2=x\times \frac{567}{500}\times \frac{10+1}{10}$$

Add 10 and 1 to get 11.

$$4453.2=x\times \frac{567}{500}\times \frac{11}{10}$$

Multiply \frac{567}{500} times \frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$4453.2=x\times \frac{567\times 11}{500\times 10}$$

Do the multiplications in the fraction \frac{567\times 11}{500\times 10}.

$$4453.2=x\times \frac{6237}{5000}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{6237}{5000}=4453.2$$

Multiply both sides by \frac{5000}{6237}, the reciprocal of \frac{6237}{5000}.

$$x=4453.2\times \frac{5000}{6237}$$

Convert decimal number 4453.2 to fraction \frac{44532}{10}. Reduce the fraction \frac{44532}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{22266}{5}\times \frac{5000}{6237}$$

Multiply \frac{22266}{5} times \frac{5000}{6237} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{22266\times 5000}{5\times 6237}$$

Do the multiplications in the fraction \frac{22266\times 5000}{5\times 6237}.

$$x=\frac{111330000}{31185}$$

Reduce the fraction \frac{111330000}{31185} to lowest terms by extracting and canceling out 45.

$$x=\frac{2474000}{693}$$