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Finding the Fourth Proportional to 3,244.47, 4,865.49 and 2,552.49

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Solution

The fourth proportional to 3,244.47, 4,865.49 and 2,552.49 is: 3,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.47 : 4,865.49 = 2,552.49 : x
  2. Step 2: Convert to fraction form
    3,244.47/4,865.49 = 2,552.49/x
  3. Step 3: Cross multiply
    3,244.47x = 4,865.49 × 2,552.49
  4. Step 4: Simplify right side
    3,244.47x = 12,419,114.57
  5. Step 5: Solve for x
    x = 12,419,114.57/3,244.47
  6. Step 6: Final answer
    x = 3,827.78

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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.