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Finding the Fourth Proportional to 3,679.99, 5,078.27 and 2,086.78

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Solution

The fourth proportional to 3,679.99, 5,078.27 and 2,086.78 is: 2,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.99 : 5,078.27 = 2,086.78 : x
  2. Step 2: Convert to fraction form
    3,679.99/5,078.27 = 2,086.78/x
  3. Step 3: Cross multiply
    3,679.99x = 5,078.27 × 2,086.78
  4. Step 4: Simplify right side
    3,679.99x = 10,597,232.27
  5. Step 5: Solve for x
    x = 10,597,232.27/3,679.99
  6. Step 6: Final answer
    x = 2,879.69

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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.