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Finding the Fourth Proportional to 4,149.39, 5,721.76 and 3,205.33

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Solution

The fourth proportional to 4,149.39, 5,721.76 and 3,205.33 is: 4,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.39 : 5,721.76 = 3,205.33 : x
  2. Step 2: Convert to fraction form
    4,149.39/5,721.76 = 3,205.33/x
  3. Step 3: Cross multiply
    4,149.39x = 5,721.76 × 3,205.33
  4. Step 4: Simplify right side
    4,149.39x = 18,340,128.98
  5. Step 5: Solve for x
    x = 18,340,128.98/4,149.39
  6. Step 6: Final answer
    x = 4,419.96

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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.