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Finding the Fourth Proportional to 3,694.06, 5,541.77 and 1,229.12

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Solution

The fourth proportional to 3,694.06, 5,541.77 and 1,229.12 is: 1,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.06 : 5,541.77 = 1,229.12 : x
  2. Step 2: Convert to fraction form
    3,694.06/5,541.77 = 1,229.12/x
  3. Step 3: Cross multiply
    3,694.06x = 5,541.77 × 1,229.12
  4. Step 4: Simplify right side
    3,694.06x = 6,811,520.75
  5. Step 5: Solve for x
    x = 6,811,520.75/3,694.06
  6. Step 6: Final answer
    x = 1,843.91

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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.