Question

(\frac{3}{5}z = \frac{4}{7})

Explanation:

Step1: Isolate Z by multiplying reciprocal

Multiply both sides by $\frac{5}{3}$:
$$Z = \frac{4}{7} \times \frac{5}{3}$$

Step2: Multiply numerators and denominators

Calculate the product:
$$Z = \frac{4 \times 5}{7 \times 3} = \frac{20}{21}$$

Answer:

$Z=\frac{20}{21}$