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Finding the Fourth Proportional to 4,112.17, 5,674.71 and 2,249.17

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Solution

The fourth proportional to 4,112.17, 5,674.71 and 2,249.17 is: 3,103.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.17 : 5,674.71 = 2,249.17 : x
  2. Step 2: Convert to fraction form
    4,112.17/5,674.71 = 2,249.17/x
  3. Step 3: Cross multiply
    4,112.17x = 5,674.71 × 2,249.17
  4. Step 4: Simplify right side
    4,112.17x = 12,763,387.49
  5. Step 5: Solve for x
    x = 12,763,387.49/4,112.17
  6. Step 6: Final answer
    x = 3,103.81

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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.