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Finding the Fourth Proportional to 4,882.62, 6,738.05 and 2,729.17

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Solution

The fourth proportional to 4,882.62, 6,738.05 and 2,729.17 is: 3,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.62 : 6,738.05 = 2,729.17 : x
  2. Step 2: Convert to fraction form
    4,882.62/6,738.05 = 2,729.17/x
  3. Step 3: Cross multiply
    4,882.62x = 6,738.05 × 2,729.17
  4. Step 4: Simplify right side
    4,882.62x = 18,389,236.58
  5. Step 5: Solve for x
    x = 18,389,236.58/4,882.62
  6. Step 6: Final answer
    x = 3,766.26

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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.