3.6:x: :0.4:0.5
You asked:
Solve \(3.6 : x=0.4 : 0.5\) for the variable \(x\).
MathBot Answer:
$$\begin{aligned}x &= \frac{9}{2} = 4.5000\end{aligned}$$
First, simplify the equation.\[3.6 : x = 0.4 : 0.5\]\[36 : 10 x=4 : 5\]
Express both ratios as fractions. \[\frac{36}{10 x} = \frac{4}{5}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{36}{10 x} &= \frac{4}{5} \\ 180 &= 40 x \\ x &&= \frac{9}{2} &= 4.5000 \end{aligned}$$