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Finding the Fourth Proportional to 4,002.70, 5,996.09 and 3,132.94

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Solution

The fourth proportional to 4,002.70, 5,996.09 and 3,132.94 is: 4,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.70 : 5,996.09 = 3,132.94 : x
  2. Step 2: Convert to fraction form
    4,002.70/5,996.09 = 3,132.94/x
  3. Step 3: Cross multiply
    4,002.70x = 5,996.09 × 3,132.94
  4. Step 4: Simplify right side
    4,002.70x = 18,785,390.20
  5. Step 5: Solve for x
    x = 18,785,390.20/4,002.70
  6. Step 6: Final answer
    x = 4,693.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.