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Finding the Fourth Proportional to 3,697.97, 5,103.17 and 2,205.95

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Solution

The fourth proportional to 3,697.97, 5,103.17 and 2,205.95 is: 3,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.97 : 5,103.17 = 2,205.95 : x
  2. Step 2: Convert to fraction form
    3,697.97/5,103.17 = 2,205.95/x
  3. Step 3: Cross multiply
    3,697.97x = 5,103.17 × 2,205.95
  4. Step 4: Simplify right side
    3,697.97x = 11,257,317.86
  5. Step 5: Solve for x
    x = 11,257,317.86/3,697.97
  6. Step 6: Final answer
    x = 3,044.19

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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.