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Finding the Fourth Proportional to 3,757.92, 5,635 and 2,198.32

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Solution

The fourth proportional to 3,757.92, 5,635 and 2,198.32 is: 3,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.92 : 5,635 = 2,198.32 : x
  2. Step 2: Convert to fraction form
    3,757.92/5,635 = 2,198.32/x
  3. Step 3: Cross multiply
    3,757.92x = 5,635 × 2,198.32
  4. Step 4: Simplify right side
    3,757.92x = 12,387,533.20
  5. Step 5: Solve for x
    x = 12,387,533.20/3,757.92
  6. Step 6: Final answer
    x = 3,296.38

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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.