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Finding the Fourth Proportional to 5,825.28, 8,737.92 and 2,540.76

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Solution

The fourth proportional to 5,825.28, 8,737.92 and 2,540.76 is: 3,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.28 : 8,737.92 = 2,540.76 : x
  2. Step 2: Convert to fraction form
    5,825.28/8,737.92 = 2,540.76/x
  3. Step 3: Cross multiply
    5,825.28x = 8,737.92 × 2,540.76
  4. Step 4: Simplify right side
    5,825.28x = 22,200,957.62
  5. Step 5: Solve for x
    x = 22,200,957.62/5,825.28
  6. Step 6: Final answer
    x = 3,811.14

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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.