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Finding the Fourth Proportional to 5,821.12, 8,728.44 and 3,229.12

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Solution

The fourth proportional to 5,821.12, 8,728.44 and 3,229.12 is: 4,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.12 : 8,728.44 = 3,229.12 : x
  2. Step 2: Convert to fraction form
    5,821.12/8,728.44 = 3,229.12/x
  3. Step 3: Cross multiply
    5,821.12x = 8,728.44 × 3,229.12
  4. Step 4: Simplify right side
    5,821.12x = 28,185,180.17
  5. Step 5: Solve for x
    x = 28,185,180.17/5,821.12
  6. Step 6: Final answer
    x = 4,841.88

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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.