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Finding the Fourth Proportional to 3,793.85, 5,686.67 and 1,942.43

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Solution

The fourth proportional to 3,793.85, 5,686.67 and 1,942.43 is: 2,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.85 : 5,686.67 = 1,942.43 : x
  2. Step 2: Convert to fraction form
    3,793.85/5,686.67 = 1,942.43/x
  3. Step 3: Cross multiply
    3,793.85x = 5,686.67 × 1,942.43
  4. Step 4: Simplify right side
    3,793.85x = 11,045,920.26
  5. Step 5: Solve for x
    x = 11,045,920.26/3,793.85
  6. Step 6: Final answer
    x = 2,911.53

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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.