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Finding the Fourth Proportional to 4,497.29, 6,747.87 and 2,414.86

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Solution

The fourth proportional to 4,497.29, 6,747.87 and 2,414.86 is: 3,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.29 : 6,747.87 = 2,414.86 : x
  2. Step 2: Convert to fraction form
    4,497.29/6,747.87 = 2,414.86/x
  3. Step 3: Cross multiply
    4,497.29x = 6,747.87 × 2,414.86
  4. Step 4: Simplify right side
    4,497.29x = 16,295,153.53
  5. Step 5: Solve for x
    x = 16,295,153.53/4,497.29
  6. Step 6: Final answer
    x = 3,623.33

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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.