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Finding the Fourth Proportional to 3,842.24, 5,297.10 and 3,759.44

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Solution

The fourth proportional to 3,842.24, 5,297.10 and 3,759.44 is: 5,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.24 : 5,297.10 = 3,759.44 : x
  2. Step 2: Convert to fraction form
    3,842.24/5,297.10 = 3,759.44/x
  3. Step 3: Cross multiply
    3,842.24x = 5,297.10 × 3,759.44
  4. Step 4: Simplify right side
    3,842.24x = 19,914,129.62
  5. Step 5: Solve for x
    x = 19,914,129.62/3,842.24
  6. Step 6: Final answer
    x = 5,182.95

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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.