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Finding the Fourth Proportional to 3,825.96, 5,279.52 and 2,147.16

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Solution

The fourth proportional to 3,825.96, 5,279.52 and 2,147.16 is: 2,962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.96 : 5,279.52 = 2,147.16 : x
  2. Step 2: Convert to fraction form
    3,825.96/5,279.52 = 2,147.16/x
  3. Step 3: Cross multiply
    3,825.96x = 5,279.52 × 2,147.16
  4. Step 4: Simplify right side
    3,825.96x = 11,335,974.16
  5. Step 5: Solve for x
    x = 11,335,974.16/3,825.96
  6. Step 6: Final answer
    x = 2,962.91

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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.