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Finding the Fourth Proportional to 3,861.38, 5,328.65 and 2,092.97

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Solution

The fourth proportional to 3,861.38, 5,328.65 and 2,092.97 is: 2,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.38 : 5,328.65 = 2,092.97 : x
  2. Step 2: Convert to fraction form
    3,861.38/5,328.65 = 2,092.97/x
  3. Step 3: Cross multiply
    3,861.38x = 5,328.65 × 2,092.97
  4. Step 4: Simplify right side
    3,861.38x = 11,152,723.14
  5. Step 5: Solve for x
    x = 11,152,723.14/3,861.38
  6. Step 6: Final answer
    x = 2,888.28

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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.