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Finding the Fourth Proportional to 4,001.92, 5,523.02 and 2,209.72

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Solution

The fourth proportional to 4,001.92, 5,523.02 and 2,209.72 is: 3,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.92 : 5,523.02 = 2,209.72 : x
  2. Step 2: Convert to fraction form
    4,001.92/5,523.02 = 2,209.72/x
  3. Step 3: Cross multiply
    4,001.92x = 5,523.02 × 2,209.72
  4. Step 4: Simplify right side
    4,001.92x = 12,204,331.90
  5. Step 5: Solve for x
    x = 12,204,331.90/4,001.92
  6. Step 6: Final answer
    x = 3,049.62

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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.