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Finding the Fourth Proportional to 3,410.31, 5,107.97 and 2,818.61

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Solution

The fourth proportional to 3,410.31, 5,107.97 and 2,818.61 is: 4,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.31 : 5,107.97 = 2,818.61 : x
  2. Step 2: Convert to fraction form
    3,410.31/5,107.97 = 2,818.61/x
  3. Step 3: Cross multiply
    3,410.31x = 5,107.97 × 2,818.61
  4. Step 4: Simplify right side
    3,410.31x = 14,397,375.32
  5. Step 5: Solve for x
    x = 14,397,375.32/3,410.31
  6. Step 6: Final answer
    x = 4,221.72

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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.