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Finding the Fourth Proportional to 3,744.92, 5,614.68 and 2,339.84

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Solution

The fourth proportional to 3,744.92, 5,614.68 and 2,339.84 is: 3,508.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.92 : 5,614.68 = 2,339.84 : x
  2. Step 2: Convert to fraction form
    3,744.92/5,614.68 = 2,339.84/x
  3. Step 3: Cross multiply
    3,744.92x = 5,614.68 × 2,339.84
  4. Step 4: Simplify right side
    3,744.92x = 13,137,452.85
  5. Step 5: Solve for x
    x = 13,137,452.85/3,744.92
  6. Step 6: Final answer
    x = 3,508.07

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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.