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Finding the Fourth Proportional to 3,404.24, 4,694.24 and 2,224.88

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Solution

The fourth proportional to 3,404.24, 4,694.24 and 2,224.88 is: 3,067.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.24 : 4,694.24 = 2,224.88 : x
  2. Step 2: Convert to fraction form
    3,404.24/4,694.24 = 2,224.88/x
  3. Step 3: Cross multiply
    3,404.24x = 4,694.24 × 2,224.88
  4. Step 4: Simplify right side
    3,404.24x = 10,444,120.69
  5. Step 5: Solve for x
    x = 10,444,120.69/3,404.24
  6. Step 6: Final answer
    x = 3,067.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.