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Finding the Fourth Proportional to 3,791.39, 5,232.13 and 2,198.35

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Solution

The fourth proportional to 3,791.39, 5,232.13 and 2,198.35 is: 3,033.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.39 : 5,232.13 = 2,198.35 : x
  2. Step 2: Convert to fraction form
    3,791.39/5,232.13 = 2,198.35/x
  3. Step 3: Cross multiply
    3,791.39x = 5,232.13 × 2,198.35
  4. Step 4: Simplify right side
    3,791.39x = 11,502,052.99
  5. Step 5: Solve for x
    x = 11,502,052.99/3,791.39
  6. Step 6: Final answer
    x = 3,033.73

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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.