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Finding the Fourth Proportional to 4,105.91, 5,649.74 and 3,991.09

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Solution

The fourth proportional to 4,105.91, 5,649.74 and 3,991.09 is: 5,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.91 : 5,649.74 = 3,991.09 : x
  2. Step 2: Convert to fraction form
    4,105.91/5,649.74 = 3,991.09/x
  3. Step 3: Cross multiply
    4,105.91x = 5,649.74 × 3,991.09
  4. Step 4: Simplify right side
    4,105.91x = 22,548,620.82
  5. Step 5: Solve for x
    x = 22,548,620.82/4,105.91
  6. Step 6: Final answer
    x = 5,491.75

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