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Finding the Fourth Proportional to 3,940.21, 5,906.06 and 1,745.92

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Solution

The fourth proportional to 3,940.21, 5,906.06 and 1,745.92 is: 2,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.21 : 5,906.06 = 1,745.92 : x
  2. Step 2: Convert to fraction form
    3,940.21/5,906.06 = 1,745.92/x
  3. Step 3: Cross multiply
    3,940.21x = 5,906.06 × 1,745.92
  4. Step 4: Simplify right side
    3,940.21x = 10,311,470.02
  5. Step 5: Solve for x
    x = 10,311,470.02/3,940.21
  6. Step 6: Final answer
    x = 2,616.99

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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.