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Finding the Fourth Proportional to 5,314.97, 7,967.28 and 2,540.92

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Solution

The fourth proportional to 5,314.97, 7,967.28 and 2,540.92 is: 3,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.97 : 7,967.28 = 2,540.92 : x
  2. Step 2: Convert to fraction form
    5,314.97/7,967.28 = 2,540.92/x
  3. Step 3: Cross multiply
    5,314.97x = 7,967.28 × 2,540.92
  4. Step 4: Simplify right side
    5,314.97x = 20,244,188.47
  5. Step 5: Solve for x
    x = 20,244,188.47/5,314.97
  6. Step 6: Final answer
    x = 3,808.90

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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.