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Finding the Fourth Proportional to 3,694.89, 5,543.01 and 1,229.48

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Solution

The fourth proportional to 3,694.89, 5,543.01 and 1,229.48 is: 1,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.89 : 5,543.01 = 1,229.48 : x
  2. Step 2: Convert to fraction form
    3,694.89/5,543.01 = 1,229.48/x
  3. Step 3: Cross multiply
    3,694.89x = 5,543.01 × 1,229.48
  4. Step 4: Simplify right side
    3,694.89x = 6,814,992.22
  5. Step 5: Solve for x
    x = 6,814,992.22/3,694.89
  6. Step 6: Final answer
    x = 1,844.44

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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.