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Finding the Fourth Proportional to 3,866.27, 5,799.08 and 1,092.87

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Solution

The fourth proportional to 3,866.27, 5,799.08 and 1,092.87 is: 1,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.27 : 5,799.08 = 1,092.87 : x
  2. Step 2: Convert to fraction form
    3,866.27/5,799.08 = 1,092.87/x
  3. Step 3: Cross multiply
    3,866.27x = 5,799.08 × 1,092.87
  4. Step 4: Simplify right side
    3,866.27x = 6,337,643.29
  5. Step 5: Solve for x
    x = 6,337,643.29/3,866.27
  6. Step 6: Final answer
    x = 1,639.22

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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.