Solve 4.3/5.5=4.1/x

$$\frac { 4.3 } { 5.5 } = \frac { 4.1 } { x }$$

Solve for x

$$x = \frac{451}{86} = 5\frac{21}{86} \approx 5.244186047$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{4.3}{5.5}=4.1$$

Expand \frac{4.3}{5.5} by multiplying both numerator and the denominator by 10.

$$x\times \frac{43}{55}=4.1$$

Multiply both sides by \frac{55}{43}, the reciprocal of \frac{43}{55}.

$$x=4.1\times \frac{55}{43}$$

Convert decimal number 4.1 to fraction \frac{41}{10}.

$$x=\frac{41}{10}\times \frac{55}{43}$$

Multiply \frac{41}{10} times \frac{55}{43} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{41\times 55}{10\times 43}$$

Do the multiplications in the fraction \frac{41\times 55}{10\times 43}.

$$x=\frac{2255}{430}$$

Reduce the fraction \frac{2255}{430} to lowest terms by extracting and canceling out 5.

$$x=\frac{451}{86}$$