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Finding the Fourth Proportional to 3,690.46, 5,092.42 and 2,198.17

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Solution

The fourth proportional to 3,690.46, 5,092.42 and 2,198.17 is: 3,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.46 : 5,092.42 = 2,198.17 : x
  2. Step 2: Convert to fraction form
    3,690.46/5,092.42 = 2,198.17/x
  3. Step 3: Cross multiply
    3,690.46x = 5,092.42 × 2,198.17
  4. Step 4: Simplify right side
    3,690.46x = 11,194,004.87
  5. Step 5: Solve for x
    x = 11,194,004.87/3,690.46
  6. Step 6: Final answer
    x = 3,033.23

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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.