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Finding the Fourth Proportional to 3,866.29, 5,799.48 and 1,093.05

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Solution

The fourth proportional to 3,866.29, 5,799.48 and 1,093.05 is: 1,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.29 : 5,799.48 = 1,093.05 : x
  2. Step 2: Convert to fraction form
    3,866.29/5,799.48 = 1,093.05/x
  3. Step 3: Cross multiply
    3,866.29x = 5,799.48 × 1,093.05
  4. Step 4: Simplify right side
    3,866.29x = 6,339,121.61
  5. Step 5: Solve for x
    x = 6,339,121.61/3,866.29
  6. Step 6: Final answer
    x = 1,639.59

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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.