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Finding the Fourth Proportional to 5,149.77, 7,724.66 and 2,375.62

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Solution

The fourth proportional to 5,149.77, 7,724.66 and 2,375.62 is: 3,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.77 : 7,724.66 = 2,375.62 : x
  2. Step 2: Convert to fraction form
    5,149.77/7,724.66 = 2,375.62/x
  3. Step 3: Cross multiply
    5,149.77x = 7,724.66 × 2,375.62
  4. Step 4: Simplify right side
    5,149.77x = 18,350,875.73
  5. Step 5: Solve for x
    x = 18,350,875.73/5,149.77
  6. Step 6: Final answer
    x = 3,563.43

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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.