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Finding the Fourth Proportional to 3,882.32, 5,821.70 and 1,249.34

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Solution

The fourth proportional to 3,882.32, 5,821.70 and 1,249.34 is: 1,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.32 : 5,821.70 = 1,249.34 : x
  2. Step 2: Convert to fraction form
    3,882.32/5,821.70 = 1,249.34/x
  3. Step 3: Cross multiply
    3,882.32x = 5,821.70 × 1,249.34
  4. Step 4: Simplify right side
    3,882.32x = 7,273,247.32
  5. Step 5: Solve for x
    x = 7,273,247.32/3,882.32
  6. Step 6: Final answer
    x = 1,873.43

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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.