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Finding the Fourth Proportional to 3,432.02, 4,732.71 and 3,052.71

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Solution

The fourth proportional to 3,432.02, 4,732.71 and 3,052.71 is: 4,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.02 : 4,732.71 = 3,052.71 : x
  2. Step 2: Convert to fraction form
    3,432.02/4,732.71 = 3,052.71/x
  3. Step 3: Cross multiply
    3,432.02x = 4,732.71 × 3,052.71
  4. Step 4: Simplify right side
    3,432.02x = 14,447,591.14
  5. Step 5: Solve for x
    x = 14,447,591.14/3,432.02
  6. Step 6: Final answer
    x = 4,209.65

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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.