Solve 3.6:x=4:3

$$3.6 : x = 4 : 3$$

Solve for x

$$x=2.7$$

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 3x, the least common multiple of x,3.

$$3\times 3.6=4x$$

Multiply 3 and 3.6 to get 10.8.

$$10.8=4x$$

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

$$4x=10.8$$

Divide both sides by 4.

$$x=\frac{10.8}{4}$$

Expand \frac{10.8}{4} by multiplying both numerator and the denominator by 10.

$$x=\frac{108}{40}$$

Reduce the fraction \frac{108}{40} to lowest terms by extracting and canceling out 4.

$$x=\frac{27}{10}$$