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Finding the Fourth Proportional to 4,137.31, 5,709.59 and 2,249

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Solution

The fourth proportional to 4,137.31, 5,709.59 and 2,249 is: 3,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.31 : 5,709.59 = 2,249 : x
  2. Step 2: Convert to fraction form
    4,137.31/5,709.59 = 2,249/x
  3. Step 3: Cross multiply
    4,137.31x = 5,709.59 × 2,249
  4. Step 4: Simplify right side
    4,137.31x = 12,840,867.91
  5. Step 5: Solve for x
    x = 12,840,867.91/4,137.31
  6. Step 6: Final answer
    x = 3,103.68

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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.