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Finding the Fourth Proportional to 4,112.43, 5,675.19 and 2,249.43

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Solution

The fourth proportional to 4,112.43, 5,675.19 and 2,249.43 is: 3,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.43 : 5,675.19 = 2,249.43 : x
  2. Step 2: Convert to fraction form
    4,112.43/5,675.19 = 2,249.43/x
  3. Step 3: Cross multiply
    4,112.43x = 5,675.19 × 2,249.43
  4. Step 4: Simplify right side
    4,112.43x = 12,765,942.64
  5. Step 5: Solve for x
    x = 12,765,942.64/4,112.43
  6. Step 6: Final answer
    x = 3,104.23

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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.