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Finding the Fourth Proportional to 3,821.64, 5,272.92 and 2,227.32

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Solution

The fourth proportional to 3,821.64, 5,272.92 and 2,227.32 is: 3,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.64 : 5,272.92 = 2,227.32 : x
  2. Step 2: Convert to fraction form
    3,821.64/5,272.92 = 2,227.32/x
  3. Step 3: Cross multiply
    3,821.64x = 5,272.92 × 2,227.32
  4. Step 4: Simplify right side
    3,821.64x = 11,744,480.17
  5. Step 5: Solve for x
    x = 11,744,480.17/3,821.64
  6. Step 6: Final answer
    x = 3,073.15

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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.