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Finding the Fourth Proportional to 4,007.97, 6,012 and 1,086.21

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Solution

The fourth proportional to 4,007.97, 6,012 and 1,086.21 is: 1,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.97 : 6,012 = 1,086.21 : x
  2. Step 2: Convert to fraction form
    4,007.97/6,012 = 1,086.21/x
  3. Step 3: Cross multiply
    4,007.97x = 6,012 × 1,086.21
  4. Step 4: Simplify right side
    4,007.97x = 6,530,294.52
  5. Step 5: Solve for x
    x = 6,530,294.52/4,007.97
  6. Step 6: Final answer
    x = 1,629.33

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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.