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Finding the Fourth Proportional to 4,006.92, 6,012.54 and 1,668.54

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Solution

The fourth proportional to 4,006.92, 6,012.54 and 1,668.54 is: 2,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.92 : 6,012.54 = 1,668.54 : x
  2. Step 2: Convert to fraction form
    4,006.92/6,012.54 = 1,668.54/x
  3. Step 3: Cross multiply
    4,006.92x = 6,012.54 × 1,668.54
  4. Step 4: Simplify right side
    4,006.92x = 10,032,163.49
  5. Step 5: Solve for x
    x = 10,032,163.49/4,006.92
  6. Step 6: Final answer
    x = 2,503.71

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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.