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Finding the Fourth Proportional to 3,865.29, 5,797.95 and 1,092.27

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Solution

The fourth proportional to 3,865.29, 5,797.95 and 1,092.27 is: 1,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.29 : 5,797.95 = 1,092.27 : x
  2. Step 2: Convert to fraction form
    3,865.29/5,797.95 = 1,092.27/x
  3. Step 3: Cross multiply
    3,865.29x = 5,797.95 × 1,092.27
  4. Step 4: Simplify right side
    3,865.29x = 6,332,926.85
  5. Step 5: Solve for x
    x = 6,332,926.85/3,865.29
  6. Step 6: Final answer
    x = 1,638.41

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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.