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Finding the Fourth Proportional to 3,249.44, 4,456.63 and 3,115.49

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Solution

The fourth proportional to 3,249.44, 4,456.63 and 3,115.49 is: 4,272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.44 : 4,456.63 = 3,115.49 : x
  2. Step 2: Convert to fraction form
    3,249.44/4,456.63 = 3,115.49/x
  3. Step 3: Cross multiply
    3,249.44x = 4,456.63 × 3,115.49
  4. Step 4: Simplify right side
    3,249.44x = 13,884,586.20
  5. Step 5: Solve for x
    x = 13,884,586.20/3,249.44
  6. Step 6: Final answer
    x = 4,272.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.