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Finding the Fourth Proportional to 3,649.50, 5,469.30 and 2,006.82

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Solution

The fourth proportional to 3,649.50, 5,469.30 and 2,006.82 is: 3,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.50 : 5,469.30 = 2,006.82 : x
  2. Step 2: Convert to fraction form
    3,649.50/5,469.30 = 2,006.82/x
  3. Step 3: Cross multiply
    3,649.50x = 5,469.30 × 2,006.82
  4. Step 4: Simplify right side
    3,649.50x = 10,975,900.63
  5. Step 5: Solve for x
    x = 10,975,900.63/3,649.50
  6. Step 6: Final answer
    x = 3,007.51

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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.