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Finding the Fourth Proportional to 3,842.12, 5,302.19 and 2,249.90

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Solution

The fourth proportional to 3,842.12, 5,302.19 and 2,249.90 is: 3,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.12 : 5,302.19 = 2,249.90 : x
  2. Step 2: Convert to fraction form
    3,842.12/5,302.19 = 2,249.90/x
  3. Step 3: Cross multiply
    3,842.12x = 5,302.19 × 2,249.90
  4. Step 4: Simplify right side
    3,842.12x = 11,929,359.52
  5. Step 5: Solve for x
    x = 11,929,359.52/3,842.12
  6. Step 6: Final answer
    x = 3,104.89

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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.