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Finding the Fourth Proportional to 3,728.12, 5,592.86 and 1,229.45

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Solution

The fourth proportional to 3,728.12, 5,592.86 and 1,229.45 is: 1,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.12 : 5,592.86 = 1,229.45 : x
  2. Step 2: Convert to fraction form
    3,728.12/5,592.86 = 1,229.45/x
  3. Step 3: Cross multiply
    3,728.12x = 5,592.86 × 1,229.45
  4. Step 4: Simplify right side
    3,728.12x = 6,876,141.73
  5. Step 5: Solve for x
    x = 6,876,141.73/3,728.12
  6. Step 6: Final answer
    x = 1,844.40

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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.