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Finding the Fourth Proportional to 3,982.78, 5,968.52 and 2,934.54

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Solution

The fourth proportional to 3,982.78, 5,968.52 and 2,934.54 is: 4,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.78 : 5,968.52 = 2,934.54 : x
  2. Step 2: Convert to fraction form
    3,982.78/5,968.52 = 2,934.54/x
  3. Step 3: Cross multiply
    3,982.78x = 5,968.52 × 2,934.54
  4. Step 4: Simplify right side
    3,982.78x = 17,514,860.68
  5. Step 5: Solve for x
    x = 17,514,860.68/3,982.78
  6. Step 6: Final answer
    x = 4,397.65

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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.