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Finding the Fourth Proportional to 3,882.71, 5,822.25 and 1,249.71

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Solution

The fourth proportional to 3,882.71, 5,822.25 and 1,249.71 is: 1,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.71 : 5,822.25 = 1,249.71 : x
  2. Step 2: Convert to fraction form
    3,882.71/5,822.25 = 1,249.71/x
  3. Step 3: Cross multiply
    3,882.71x = 5,822.25 × 1,249.71
  4. Step 4: Simplify right side
    3,882.71x = 7,276,124.05
  5. Step 5: Solve for x
    x = 7,276,124.05/3,882.71
  6. Step 6: Final answer
    x = 1,873.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.