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Finding the Fourth Proportional to 5,469.77, 8,205.47 and 2,006.75

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Solution

The fourth proportional to 5,469.77, 8,205.47 and 2,006.75 is: 3,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.77 : 8,205.47 = 2,006.75 : x
  2. Step 2: Convert to fraction form
    5,469.77/8,205.47 = 2,006.75/x
  3. Step 3: Cross multiply
    5,469.77x = 8,205.47 × 2,006.75
  4. Step 4: Simplify right side
    5,469.77x = 16,466,326.92
  5. Step 5: Solve for x
    x = 16,466,326.92/5,469.77
  6. Step 6: Final answer
    x = 3,010.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.