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Finding the Fourth Proportional to 3,979.60, 5,967.75 and 1,728.27

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Solution

The fourth proportional to 3,979.60, 5,967.75 and 1,728.27 is: 2,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.60 : 5,967.75 = 1,728.27 : x
  2. Step 2: Convert to fraction form
    3,979.60/5,967.75 = 1,728.27/x
  3. Step 3: Cross multiply
    3,979.60x = 5,967.75 × 1,728.27
  4. Step 4: Simplify right side
    3,979.60x = 10,313,883.29
  5. Step 5: Solve for x
    x = 10,313,883.29/3,979.60
  6. Step 6: Final answer
    x = 2,591.69

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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.