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Finding the Fourth Proportional to 5,338.65, 8,006.13 and 2,006.31

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Solution

The fourth proportional to 5,338.65, 8,006.13 and 2,006.31 is: 3,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.65 : 8,006.13 = 2,006.31 : x
  2. Step 2: Convert to fraction form
    5,338.65/8,006.13 = 2,006.31/x
  3. Step 3: Cross multiply
    5,338.65x = 8,006.13 × 2,006.31
  4. Step 4: Simplify right side
    5,338.65x = 16,062,778.68
  5. Step 5: Solve for x
    x = 16,062,778.68/5,338.65
  6. Step 6: Final answer
    x = 3,008.77

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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.