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Finding the Fourth Proportional to 4,112.19, 5,674.96 and 2,249.19

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Solution

The fourth proportional to 4,112.19, 5,674.96 and 2,249.19 is: 3,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.19 : 5,674.96 = 2,249.19 : x
  2. Step 2: Convert to fraction form
    4,112.19/5,674.96 = 2,249.19/x
  3. Step 3: Cross multiply
    4,112.19x = 5,674.96 × 2,249.19
  4. Step 4: Simplify right side
    4,112.19x = 12,764,052.04
  5. Step 5: Solve for x
    x = 12,764,052.04/4,112.19
  6. Step 6: Final answer
    x = 3,103.95

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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.