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Finding the Fourth Proportional to 3,982.68, 5,961.69 and 3,642.48

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Solution

The fourth proportional to 3,982.68, 5,961.69 and 3,642.48 is: 5,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.68 : 5,961.69 = 3,642.48 : x
  2. Step 2: Convert to fraction form
    3,982.68/5,961.69 = 3,642.48/x
  3. Step 3: Cross multiply
    3,982.68x = 5,961.69 × 3,642.48
  4. Step 4: Simplify right side
    3,982.68x = 21,715,336.59
  5. Step 5: Solve for x
    x = 21,715,336.59/3,982.68
  6. Step 6: Final answer
    x = 5,452.44

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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.