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Finding the Fourth Proportional to 3,690.57, 5,092.38 and 2,198.44

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Solution

The fourth proportional to 3,690.57, 5,092.38 and 2,198.44 is: 3,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.57 : 5,092.38 = 2,198.44 : x
  2. Step 2: Convert to fraction form
    3,690.57/5,092.38 = 2,198.44/x
  3. Step 3: Cross multiply
    3,690.57x = 5,092.38 × 2,198.44
  4. Step 4: Simplify right side
    3,690.57x = 11,195,291.89
  5. Step 5: Solve for x
    x = 11,195,291.89/3,690.57
  6. Step 6: Final answer
    x = 3,033.49

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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.