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Finding the Fourth Proportional to 5,469.70, 8,205.16 and 2,006.94

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Solution

The fourth proportional to 5,469.70, 8,205.16 and 2,006.94 is: 3,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.70 : 8,205.16 = 2,006.94 : x
  2. Step 2: Convert to fraction form
    5,469.70/8,205.16 = 2,006.94/x
  3. Step 3: Cross multiply
    5,469.70x = 8,205.16 × 2,006.94
  4. Step 4: Simplify right side
    5,469.70x = 16,467,263.81
  5. Step 5: Solve for x
    x = 16,467,263.81/5,469.70
  6. Step 6: Final answer
    x = 3,010.63

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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.