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Finding the Fourth Proportional to 4,223.92, 6,337.16 and 2,249.21

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Solution

The fourth proportional to 4,223.92, 6,337.16 and 2,249.21 is: 3,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.92 : 6,337.16 = 2,249.21 : x
  2. Step 2: Convert to fraction form
    4,223.92/6,337.16 = 2,249.21/x
  3. Step 3: Cross multiply
    4,223.92x = 6,337.16 × 2,249.21
  4. Step 4: Simplify right side
    4,223.92x = 14,253,600.83
  5. Step 5: Solve for x
    x = 14,253,600.83/4,223.92
  6. Step 6: Final answer
    x = 3,374.49

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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.