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Finding the Fourth Proportional to 3,495.97, 5,251.24 and 2,037.97

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Solution

The fourth proportional to 3,495.97, 5,251.24 and 2,037.97 is: 3,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.97 : 5,251.24 = 2,037.97 : x
  2. Step 2: Convert to fraction form
    3,495.97/5,251.24 = 2,037.97/x
  3. Step 3: Cross multiply
    3,495.97x = 5,251.24 × 2,037.97
  4. Step 4: Simplify right side
    3,495.97x = 10,701,843.33
  5. Step 5: Solve for x
    x = 10,701,843.33/3,495.97
  6. Step 6: Final answer
    x = 3,061.20

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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.