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Finding the Fourth Proportional to 5,982.48, 8,976 and 2,087.28

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Solution

The fourth proportional to 5,982.48, 8,976 and 2,087.28 is: 3,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.48 : 8,976 = 2,087.28 : x
  2. Step 2: Convert to fraction form
    5,982.48/8,976 = 2,087.28/x
  3. Step 3: Cross multiply
    5,982.48x = 8,976 × 2,087.28
  4. Step 4: Simplify right side
    5,982.48x = 18,735,425.28
  5. Step 5: Solve for x
    x = 18,735,425.28/5,982.48
  6. Step 6: Final answer
    x = 3,131.72

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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.