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Finding the Fourth Proportional to 3,523.91, 5,286.85 and 1,766.78

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Solution

The fourth proportional to 3,523.91, 5,286.85 and 1,766.78 is: 2,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.91 : 5,286.85 = 1,766.78 : x
  2. Step 2: Convert to fraction form
    3,523.91/5,286.85 = 1,766.78/x
  3. Step 3: Cross multiply
    3,523.91x = 5,286.85 × 1,766.78
  4. Step 4: Simplify right side
    3,523.91x = 9,340,729.49
  5. Step 5: Solve for x
    x = 9,340,729.49/3,523.91
  6. Step 6: Final answer
    x = 2,650.67

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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.