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Finding the Fourth Proportional to 5,912.97, 8,863.47 and 3,834.30

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Solution

The fourth proportional to 5,912.97, 8,863.47 and 3,834.30 is: 5,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.97 : 8,863.47 = 3,834.30 : x
  2. Step 2: Convert to fraction form
    5,912.97/8,863.47 = 3,834.30/x
  3. Step 3: Cross multiply
    5,912.97x = 8,863.47 × 3,834.30
  4. Step 4: Simplify right side
    5,912.97x = 33,985,203.02
  5. Step 5: Solve for x
    x = 33,985,203.02/5,912.97
  6. Step 6: Final answer
    x = 5,747.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.