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Finding the Fourth Proportional to 5,711.22, 7,872.55 and 5,252.99

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Solution

The fourth proportional to 5,711.22, 7,872.55 and 5,252.99 is: 7,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.22 : 7,872.55 = 5,252.99 : x
  2. Step 2: Convert to fraction form
    5,711.22/7,872.55 = 5,252.99/x
  3. Step 3: Cross multiply
    5,711.22x = 7,872.55 × 5,252.99
  4. Step 4: Simplify right side
    5,711.22x = 41,354,432.97
  5. Step 5: Solve for x
    x = 41,354,432.97/5,711.22
  6. Step 6: Final answer
    x = 7,240.91

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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.