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Finding the Fourth Proportional to 5,834.85, 8,747.02 and 3,961.38

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Solution

The fourth proportional to 5,834.85, 8,747.02 and 3,961.38 is: 5,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.85 : 8,747.02 = 3,961.38 : x
  2. Step 2: Convert to fraction form
    5,834.85/8,747.02 = 3,961.38/x
  3. Step 3: Cross multiply
    5,834.85x = 8,747.02 × 3,961.38
  4. Step 4: Simplify right side
    5,834.85x = 34,650,258.64
  5. Step 5: Solve for x
    x = 34,650,258.64/5,834.85
  6. Step 6: Final answer
    x = 5,938.50

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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.