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Finding the Fourth Proportional to 4,091.69, 6,139.97 and 2,144.99

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Solution

The fourth proportional to 4,091.69, 6,139.97 and 2,144.99 is: 3,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.69 : 6,139.97 = 2,144.99 : x
  2. Step 2: Convert to fraction form
    4,091.69/6,139.97 = 2,144.99/x
  3. Step 3: Cross multiply
    4,091.69x = 6,139.97 × 2,144.99
  4. Step 4: Simplify right side
    4,091.69x = 13,170,174.25
  5. Step 5: Solve for x
    x = 13,170,174.25/4,091.69
  6. Step 6: Final answer
    x = 3,218.76

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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.