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Finding the Fourth Proportional to 5,469.75, 8,205.84 and 2,007

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Solution

The fourth proportional to 5,469.75, 8,205.84 and 2,007 is: 3,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.75 : 8,205.84 = 2,007 : x
  2. Step 2: Convert to fraction form
    5,469.75/8,205.84 = 2,007/x
  3. Step 3: Cross multiply
    5,469.75x = 8,205.84 × 2,007
  4. Step 4: Simplify right side
    5,469.75x = 16,469,120.88
  5. Step 5: Solve for x
    x = 16,469,120.88/5,469.75
  6. Step 6: Final answer
    x = 3,010.95

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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.