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Finding the Fourth Proportional to 4,640.27, 6,949.46 and 3,591.87

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Solution

The fourth proportional to 4,640.27, 6,949.46 and 3,591.87 is: 5,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.27 : 6,949.46 = 3,591.87 : x
  2. Step 2: Convert to fraction form
    4,640.27/6,949.46 = 3,591.87/x
  3. Step 3: Cross multiply
    4,640.27x = 6,949.46 × 3,591.87
  4. Step 4: Simplify right side
    4,640.27x = 24,961,556.89
  5. Step 5: Solve for x
    x = 24,961,556.89/4,640.27
  6. Step 6: Final answer
    x = 5,379.33

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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.