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Finding the Fourth Proportional to 3,708.71, 5,546.21 and 2,772.30

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Solution

The fourth proportional to 3,708.71, 5,546.21 and 2,772.30 is: 4,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.71 : 5,546.21 = 2,772.30 : x
  2. Step 2: Convert to fraction form
    3,708.71/5,546.21 = 2,772.30/x
  3. Step 3: Cross multiply
    3,708.71x = 5,546.21 × 2,772.30
  4. Step 4: Simplify right side
    3,708.71x = 15,375,744.12
  5. Step 5: Solve for x
    x = 15,375,744.12/3,708.71
  6. Step 6: Final answer
    x = 4,145.85

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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.