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Finding the Fourth Proportional to 3,818.97, 5,728.52 and 1,221.91

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Solution

The fourth proportional to 3,818.97, 5,728.52 and 1,221.91 is: 1,832.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.97 : 5,728.52 = 1,221.91 : x
  2. Step 2: Convert to fraction form
    3,818.97/5,728.52 = 1,221.91/x
  3. Step 3: Cross multiply
    3,818.97x = 5,728.52 × 1,221.91
  4. Step 4: Simplify right side
    3,818.97x = 6,999,724.61
  5. Step 5: Solve for x
    x = 6,999,724.61/3,818.97
  6. Step 6: Final answer
    x = 1,832.88

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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.