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Finding the Fourth Proportional to 3,419.90, 4,716.49 and 2,224.44

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Solution

The fourth proportional to 3,419.90, 4,716.49 and 2,224.44 is: 3,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.90 : 4,716.49 = 2,224.44 : x
  2. Step 2: Convert to fraction form
    3,419.90/4,716.49 = 2,224.44/x
  3. Step 3: Cross multiply
    3,419.90x = 4,716.49 × 2,224.44
  4. Step 4: Simplify right side
    3,419.90x = 10,491,542.79
  5. Step 5: Solve for x
    x = 10,491,542.79/3,419.90
  6. Step 6: Final answer
    x = 3,067.80

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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.