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Finding the Fourth Proportional to 5,974.75, 8,963.34 and 2,512

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Solution

The fourth proportional to 5,974.75, 8,963.34 and 2,512 is: 3,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.75 : 8,963.34 = 2,512 : x
  2. Step 2: Convert to fraction form
    5,974.75/8,963.34 = 2,512/x
  3. Step 3: Cross multiply
    5,974.75x = 8,963.34 × 2,512
  4. Step 4: Simplify right side
    5,974.75x = 22,515,910.08
  5. Step 5: Solve for x
    x = 22,515,910.08/5,974.75
  6. Step 6: Final answer
    x = 3,768.51

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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.