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Finding the Fourth Proportional to 4,200.62, 5,796.17 and 2,432.38

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Solution

The fourth proportional to 4,200.62, 5,796.17 and 2,432.38 is: 3,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.62 : 5,796.17 = 2,432.38 : x
  2. Step 2: Convert to fraction form
    4,200.62/5,796.17 = 2,432.38/x
  3. Step 3: Cross multiply
    4,200.62x = 5,796.17 × 2,432.38
  4. Step 4: Simplify right side
    4,200.62x = 14,098,487.98
  5. Step 5: Solve for x
    x = 14,098,487.98/4,200.62
  6. Step 6: Final answer
    x = 3,356.29

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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.