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Finding the Fourth Proportional to 3,512.62, 4,843.02 and 2,251.60

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Solution

The fourth proportional to 3,512.62, 4,843.02 and 2,251.60 is: 3,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.62 : 4,843.02 = 2,251.60 : x
  2. Step 2: Convert to fraction form
    3,512.62/4,843.02 = 2,251.60/x
  3. Step 3: Cross multiply
    3,512.62x = 4,843.02 × 2,251.60
  4. Step 4: Simplify right side
    3,512.62x = 10,904,543.83
  5. Step 5: Solve for x
    x = 10,904,543.83/3,512.62
  6. Step 6: Final answer
    x = 3,104.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.