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Finding the Fourth Proportional to 5,864.38, 8,092.84 and 3,211.80

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Solution

The fourth proportional to 5,864.38, 8,092.84 and 3,211.80 is: 4,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.38 : 8,092.84 = 3,211.80 : x
  2. Step 2: Convert to fraction form
    5,864.38/8,092.84 = 3,211.80/x
  3. Step 3: Cross multiply
    5,864.38x = 8,092.84 × 3,211.80
  4. Step 4: Simplify right side
    5,864.38x = 25,992,583.51
  5. Step 5: Solve for x
    x = 25,992,583.51/5,864.38
  6. Step 6: Final answer
    x = 4,432.28

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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.