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Finding the Fourth Proportional to 3,765.92, 5,644.02 and 3,249.14

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Solution

The fourth proportional to 3,765.92, 5,644.02 and 3,249.14 is: 4,869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.92 : 5,644.02 = 3,249.14 : x
  2. Step 2: Convert to fraction form
    3,765.92/5,644.02 = 3,249.14/x
  3. Step 3: Cross multiply
    3,765.92x = 5,644.02 × 3,249.14
  4. Step 4: Simplify right side
    3,765.92x = 18,338,211.14
  5. Step 5: Solve for x
    x = 18,338,211.14/3,765.92
  6. Step 6: Final answer
    x = 4,869.52

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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.