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Finding the Fourth Proportional to 6,006.88, 8,287.92 and 3,769.84

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Solution

The fourth proportional to 6,006.88, 8,287.92 and 3,769.84 is: 5,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.88 : 8,287.92 = 3,769.84 : x
  2. Step 2: Convert to fraction form
    6,006.88/8,287.92 = 3,769.84/x
  3. Step 3: Cross multiply
    6,006.88x = 8,287.92 × 3,769.84
  4. Step 4: Simplify right side
    6,006.88x = 31,244,132.33
  5. Step 5: Solve for x
    x = 31,244,132.33/6,006.88
  6. Step 6: Final answer
    x = 5,201.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.