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Finding the Fourth Proportional to 5,976.64, 8,965.20 and 2,081.44

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Solution

The fourth proportional to 5,976.64, 8,965.20 and 2,081.44 is: 3,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.64 : 8,965.20 = 2,081.44 : x
  2. Step 2: Convert to fraction form
    5,976.64/8,965.20 = 2,081.44/x
  3. Step 3: Cross multiply
    5,976.64x = 8,965.20 × 2,081.44
  4. Step 4: Simplify right side
    5,976.64x = 18,660,525.89
  5. Step 5: Solve for x
    x = 18,660,525.89/5,976.64
  6. Step 6: Final answer
    x = 3,122.24

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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.