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Finding the Fourth Proportional to 3,876.41, 5,806.83 and 1,793.50

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Solution

The fourth proportional to 3,876.41, 5,806.83 and 1,793.50 is: 2,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.41 : 5,806.83 = 1,793.50 : x
  2. Step 2: Convert to fraction form
    3,876.41/5,806.83 = 1,793.50/x
  3. Step 3: Cross multiply
    3,876.41x = 5,806.83 × 1,793.50
  4. Step 4: Simplify right side
    3,876.41x = 10,414,520.57
  5. Step 5: Solve for x
    x = 10,414,520.57/3,876.41
  6. Step 6: Final answer
    x = 2,686.64

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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.