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Finding the Fourth Proportional to 5,855.38, 8,080.42 and 3,202.78

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Solution

The fourth proportional to 5,855.38, 8,080.42 and 3,202.78 is: 4,419.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.38 : 8,080.42 = 3,202.78 : x
  2. Step 2: Convert to fraction form
    5,855.38/8,080.42 = 3,202.78/x
  3. Step 3: Cross multiply
    5,855.38x = 8,080.42 × 3,202.78
  4. Step 4: Simplify right side
    5,855.38x = 25,879,807.57
  5. Step 5: Solve for x
    x = 25,879,807.57/5,855.38
  6. Step 6: Final answer
    x = 4,419.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.