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Finding the Fourth Proportional to 3,866.13, 5,799.10 and 1,092.77

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Solution

The fourth proportional to 3,866.13, 5,799.10 and 1,092.77 is: 1,639.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.13 : 5,799.10 = 1,092.77 : x
  2. Step 2: Convert to fraction form
    3,866.13/5,799.10 = 1,092.77/x
  3. Step 3: Cross multiply
    3,866.13x = 5,799.10 × 1,092.77
  4. Step 4: Simplify right side
    3,866.13x = 6,337,082.51
  5. Step 5: Solve for x
    x = 6,337,082.51/3,866.13
  6. Step 6: Final answer
    x = 1,639.13

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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.