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Finding the Fourth Proportional to 5,863.79, 8,092.10 and 3,211.31

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Solution

The fourth proportional to 5,863.79, 8,092.10 and 3,211.31 is: 4,431.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.79 : 8,092.10 = 3,211.31 : x
  2. Step 2: Convert to fraction form
    5,863.79/8,092.10 = 3,211.31/x
  3. Step 3: Cross multiply
    5,863.79x = 8,092.10 × 3,211.31
  4. Step 4: Simplify right side
    5,863.79x = 25,986,269.91
  5. Step 5: Solve for x
    x = 25,986,269.91/5,863.79
  6. Step 6: Final answer
    x = 4,431.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.