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Finding the Fourth Proportional to 3,432.49, 4,737.22 and 2,871.97

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Solution

The fourth proportional to 3,432.49, 4,737.22 and 2,871.97 is: 3,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.49 : 4,737.22 = 2,871.97 : x
  2. Step 2: Convert to fraction form
    3,432.49/4,737.22 = 2,871.97/x
  3. Step 3: Cross multiply
    3,432.49x = 4,737.22 × 2,871.97
  4. Step 4: Simplify right side
    3,432.49x = 13,605,134.70
  5. Step 5: Solve for x
    x = 13,605,134.70/3,432.49
  6. Step 6: Final answer
    x = 3,963.64

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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.