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Finding the Fourth Proportional to 3,843.68, 5,766.20 and 1,344.73

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Solution

The fourth proportional to 3,843.68, 5,766.20 and 1,344.73 is: 2,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.68 : 5,766.20 = 1,344.73 : x
  2. Step 2: Convert to fraction form
    3,843.68/5,766.20 = 1,344.73/x
  3. Step 3: Cross multiply
    3,843.68x = 5,766.20 × 1,344.73
  4. Step 4: Simplify right side
    3,843.68x = 7,753,982.13
  5. Step 5: Solve for x
    x = 7,753,982.13/3,843.68
  6. Step 6: Final answer
    x = 2,017.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.