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Finding the Fourth Proportional to 5,982.64, 8,974.20 and 2,087.44

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Solution

The fourth proportional to 5,982.64, 8,974.20 and 2,087.44 is: 3,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.64 : 8,974.20 = 2,087.44 : x
  2. Step 2: Convert to fraction form
    5,982.64/8,974.20 = 2,087.44/x
  3. Step 3: Cross multiply
    5,982.64x = 8,974.20 × 2,087.44
  4. Step 4: Simplify right side
    5,982.64x = 18,733,104.05
  5. Step 5: Solve for x
    x = 18,733,104.05/5,982.64
  6. Step 6: Final answer
    x = 3,131.24

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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.