To solve the equation \(\frac{1}{4}x = \frac{3}{5}\), you can follow these steps:
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Isolate \(x\): Multiply both sides of the equation by \(4\) to eliminate the fraction on the left side:
\[ x = \frac{3}{5} \cdot 4 \]
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Multiply: Now calculate \(\frac{3 \cdot 4}{5}\):
\[ x = \frac{12}{5} \]
Therefore, the solution to the equation is:
\[ \boxed{\frac{12}{5}} \]