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Finding the Fourth Proportional to 5,769.71, 7,956.92 and 3,779.54

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Solution

The fourth proportional to 5,769.71, 7,956.92 and 3,779.54 is: 5,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.71 : 7,956.92 = 3,779.54 : x
  2. Step 2: Convert to fraction form
    5,769.71/7,956.92 = 3,779.54/x
  3. Step 3: Cross multiply
    5,769.71x = 7,956.92 × 3,779.54
  4. Step 4: Simplify right side
    5,769.71x = 30,073,438.73
  5. Step 5: Solve for x
    x = 30,073,438.73/5,769.71
  6. Step 6: Final answer
    x = 5,212.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.