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Finding the Fourth Proportional to 3,879.67, 5,809.17 and 2,649.48

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Solution

The fourth proportional to 3,879.67, 5,809.17 and 2,649.48 is: 3,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.67 : 5,809.17 = 2,649.48 : x
  2. Step 2: Convert to fraction form
    3,879.67/5,809.17 = 2,649.48/x
  3. Step 3: Cross multiply
    3,879.67x = 5,809.17 × 2,649.48
  4. Step 4: Simplify right side
    3,879.67x = 15,391,286.36
  5. Step 5: Solve for x
    x = 15,391,286.36/3,879.67
  6. Step 6: Final answer
    x = 3,967.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.