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Finding the Fourth Proportional to 3,902.91, 5,854.86 and 1,794.03

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Solution

The fourth proportional to 3,902.91, 5,854.86 and 1,794.03 is: 2,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.91 : 5,854.86 = 1,794.03 : x
  2. Step 2: Convert to fraction form
    3,902.91/5,854.86 = 1,794.03/x
  3. Step 3: Cross multiply
    3,902.91x = 5,854.86 × 1,794.03
  4. Step 4: Simplify right side
    3,902.91x = 10,503,794.49
  5. Step 5: Solve for x
    x = 10,503,794.49/3,902.91
  6. Step 6: Final answer
    x = 2,691.27

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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.