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Finding the Fourth Proportional to 5,197.20, 7,171.92 and 2,839.32

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Solution

The fourth proportional to 5,197.20, 7,171.92 and 2,839.32 is: 3,918.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.20 : 7,171.92 = 2,839.32 : x
  2. Step 2: Convert to fraction form
    5,197.20/7,171.92 = 2,839.32/x
  3. Step 3: Cross multiply
    5,197.20x = 7,171.92 × 2,839.32
  4. Step 4: Simplify right side
    5,197.20x = 20,363,375.89
  5. Step 5: Solve for x
    x = 20,363,375.89/5,197.20
  6. Step 6: Final answer
    x = 3,918.14

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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.