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Finding the Fourth Proportional to 3,752.38, 5,140.73 and 3,612.20

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Solution

The fourth proportional to 3,752.38, 5,140.73 and 3,612.20 is: 4,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.38 : 5,140.73 = 3,612.20 : x
  2. Step 2: Convert to fraction form
    3,752.38/5,140.73 = 3,612.20/x
  3. Step 3: Cross multiply
    3,752.38x = 5,140.73 × 3,612.20
  4. Step 4: Simplify right side
    3,752.38x = 18,569,344.91
  5. Step 5: Solve for x
    x = 18,569,344.91/3,752.38
  6. Step 6: Final answer
    x = 4,948.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.