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Finding the Fourth Proportional to 5,711.64, 7,882.06 and 3,227.64

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Solution

The fourth proportional to 5,711.64, 7,882.06 and 3,227.64 is: 4,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.64 : 7,882.06 = 3,227.64 : x
  2. Step 2: Convert to fraction form
    5,711.64/7,882.06 = 3,227.64/x
  3. Step 3: Cross multiply
    5,711.64x = 7,882.06 × 3,227.64
  4. Step 4: Simplify right side
    5,711.64x = 25,440,452.14
  5. Step 5: Solve for x
    x = 25,440,452.14/5,711.64
  6. Step 6: Final answer
    x = 4,454.14

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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.