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Finding the Fourth Proportional to 3,882.16, 5,321.26 and 3,827.49

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Solution

The fourth proportional to 3,882.16, 5,321.26 and 3,827.49 is: 5,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.16 : 5,321.26 = 3,827.49 : x
  2. Step 2: Convert to fraction form
    3,882.16/5,321.26 = 3,827.49/x
  3. Step 3: Cross multiply
    3,882.16x = 5,321.26 × 3,827.49
  4. Step 4: Simplify right side
    3,882.16x = 20,367,069.44
  5. Step 5: Solve for x
    x = 20,367,069.44/3,882.16
  6. Step 6: Final answer
    x = 5,246.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.