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Finding the Fourth Proportional to 5,966.54, 8,939.13 and 3,986.17

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Solution

The fourth proportional to 5,966.54, 8,939.13 and 3,986.17 is: 5,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.54 : 8,939.13 = 3,986.17 : x
  2. Step 2: Convert to fraction form
    5,966.54/8,939.13 = 3,986.17/x
  3. Step 3: Cross multiply
    5,966.54x = 8,939.13 × 3,986.17
  4. Step 4: Simplify right side
    5,966.54x = 35,632,879.68
  5. Step 5: Solve for x
    x = 35,632,879.68/5,966.54
  6. Step 6: Final answer
    x = 5,972.12

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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.