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Finding the Fourth Proportional to 3,866.18, 5,799.59 and 1,092.88

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Solution

The fourth proportional to 3,866.18, 5,799.59 and 1,092.88 is: 1,639.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.18 : 5,799.59 = 1,092.88 : x
  2. Step 2: Convert to fraction form
    3,866.18/5,799.59 = 1,092.88/x
  3. Step 3: Cross multiply
    3,866.18x = 5,799.59 × 1,092.88
  4. Step 4: Simplify right side
    3,866.18x = 6,338,228.71
  5. Step 5: Solve for x
    x = 6,338,228.71/3,866.18
  6. Step 6: Final answer
    x = 1,639.40

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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.