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Finding the Fourth Proportional to 3,909.52, 5,397.65 and 3,489.15

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Solution

The fourth proportional to 3,909.52, 5,397.65 and 3,489.15 is: 4,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.52 : 5,397.65 = 3,489.15 : x
  2. Step 2: Convert to fraction form
    3,909.52/5,397.65 = 3,489.15/x
  3. Step 3: Cross multiply
    3,909.52x = 5,397.65 × 3,489.15
  4. Step 4: Simplify right side
    3,909.52x = 18,833,193.05
  5. Step 5: Solve for x
    x = 18,833,193.05/3,909.52
  6. Step 6: Final answer
    x = 4,817.27

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