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Finding the Fourth Proportional to 3,737.28, 5,152.88 and 3,404.32

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Solution

The fourth proportional to 3,737.28, 5,152.88 and 3,404.32 is: 4,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.28 : 5,152.88 = 3,404.32 : x
  2. Step 2: Convert to fraction form
    3,737.28/5,152.88 = 3,404.32/x
  3. Step 3: Cross multiply
    3,737.28x = 5,152.88 × 3,404.32
  4. Step 4: Simplify right side
    3,737.28x = 17,542,052.44
  5. Step 5: Solve for x
    x = 17,542,052.44/3,737.28
  6. Step 6: Final answer
    x = 4,693.80

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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.