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Finding the Fourth Proportional to 5,132.92, 7,695.02 and 2,171.24

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Solution

The fourth proportional to 5,132.92, 7,695.02 and 2,171.24 is: 3,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.92 : 7,695.02 = 2,171.24 : x
  2. Step 2: Convert to fraction form
    5,132.92/7,695.02 = 2,171.24/x
  3. Step 3: Cross multiply
    5,132.92x = 7,695.02 × 2,171.24
  4. Step 4: Simplify right side
    5,132.92x = 16,707,735.22
  5. Step 5: Solve for x
    x = 16,707,735.22/5,132.92
  6. Step 6: Final answer
    x = 3,255.02

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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.