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Finding the Fourth Proportional to 3,690.35, 5,092.26 and 2,197.97

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Solution

The fourth proportional to 3,690.35, 5,092.26 and 2,197.97 is: 3,032.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.35 : 5,092.26 = 2,197.97 : x
  2. Step 2: Convert to fraction form
    3,690.35/5,092.26 = 2,197.97/x
  3. Step 3: Cross multiply
    3,690.35x = 5,092.26 × 2,197.97
  4. Step 4: Simplify right side
    3,690.35x = 11,192,634.71
  5. Step 5: Solve for x
    x = 11,192,634.71/3,690.35
  6. Step 6: Final answer
    x = 3,032.95

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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.