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Finding the Fourth Proportional to 5,256, 7,882.44 and 2,481.12

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Solution

The fourth proportional to 5,256, 7,882.44 and 2,481.12 is: 3,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256 : 7,882.44 = 2,481.12 : x
  2. Step 2: Convert to fraction form
    5,256/7,882.44 = 2,481.12/x
  3. Step 3: Cross multiply
    5,256x = 7,882.44 × 2,481.12
  4. Step 4: Simplify right side
    5,256x = 19,557,279.53
  5. Step 5: Solve for x
    x = 19,557,279.53/5,256
  6. Step 6: Final answer
    x = 3,720.94

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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.