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Finding the Fourth Proportional to 4,137.59, 5,709.87 and 2,249.17

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Solution

The fourth proportional to 4,137.59, 5,709.87 and 2,249.17 is: 3,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.59 : 5,709.87 = 2,249.17 : x
  2. Step 2: Convert to fraction form
    4,137.59/5,709.87 = 2,249.17/x
  3. Step 3: Cross multiply
    4,137.59x = 5,709.87 × 2,249.17
  4. Step 4: Simplify right side
    4,137.59x = 12,842,454.03
  5. Step 5: Solve for x
    x = 12,842,454.03/4,137.59
  6. Step 6: Final answer
    x = 3,103.85

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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.