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Finding the Fourth Proportional to 3,791.90, 5,234.28 and 3,398.24

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Solution

The fourth proportional to 3,791.90, 5,234.28 and 3,398.24 is: 4,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.90 : 5,234.28 = 3,398.24 : x
  2. Step 2: Convert to fraction form
    3,791.90/5,234.28 = 3,398.24/x
  3. Step 3: Cross multiply
    3,791.90x = 5,234.28 × 3,398.24
  4. Step 4: Simplify right side
    3,791.90x = 17,787,339.67
  5. Step 5: Solve for x
    x = 17,787,339.67/3,791.90
  6. Step 6: Final answer
    x = 4,690.88

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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.