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Finding the Fourth Proportional to 3,792.38, 5,230.91 and 2,463.71

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Solution

The fourth proportional to 3,792.38, 5,230.91 and 2,463.71 is: 3,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.38 : 5,230.91 = 2,463.71 : x
  2. Step 2: Convert to fraction form
    3,792.38/5,230.91 = 2,463.71/x
  3. Step 3: Cross multiply
    3,792.38x = 5,230.91 × 2,463.71
  4. Step 4: Simplify right side
    3,792.38x = 12,887,425.28
  5. Step 5: Solve for x
    x = 12,887,425.28/3,792.38
  6. Step 6: Final answer
    x = 3,398.25

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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.