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Finding the Fourth Proportional to 3,691.83, 5,092.12 and 2,198.59

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Solution

The fourth proportional to 3,691.83, 5,092.12 and 2,198.59 is: 3,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.83 : 5,092.12 = 2,198.59 : x
  2. Step 2: Convert to fraction form
    3,691.83/5,092.12 = 2,198.59/x
  3. Step 3: Cross multiply
    3,691.83x = 5,092.12 × 2,198.59
  4. Step 4: Simplify right side
    3,691.83x = 11,195,484.11
  5. Step 5: Solve for x
    x = 11,195,484.11/3,691.83
  6. Step 6: Final answer
    x = 3,032.50

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