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Finding the Fourth Proportional to 5,267.28, 7,884.48 and 3,882.18

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Solution

The fourth proportional to 5,267.28, 7,884.48 and 3,882.18 is: 5,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.28 : 7,884.48 = 3,882.18 : x
  2. Step 2: Convert to fraction form
    5,267.28/7,884.48 = 3,882.18/x
  3. Step 3: Cross multiply
    5,267.28x = 7,884.48 × 3,882.18
  4. Step 4: Simplify right side
    5,267.28x = 30,608,970.57
  5. Step 5: Solve for x
    x = 30,608,970.57/5,267.28
  6. Step 6: Final answer
    x = 5,811.15

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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.