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Finding the Fourth Proportional to 3,713.80, 5,565.24 and 3,385.75

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Solution

The fourth proportional to 3,713.80, 5,565.24 and 3,385.75 is: 5,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.80 : 5,565.24 = 3,385.75 : x
  2. Step 2: Convert to fraction form
    3,713.80/5,565.24 = 3,385.75/x
  3. Step 3: Cross multiply
    3,713.80x = 5,565.24 × 3,385.75
  4. Step 4: Simplify right side
    3,713.80x = 18,842,511.33
  5. Step 5: Solve for x
    x = 18,842,511.33/3,713.80
  6. Step 6: Final answer
    x = 5,073.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.