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Finding the Fourth Proportional to 3,908.94, 5,396.67 and 3,471.54

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Solution

The fourth proportional to 3,908.94, 5,396.67 and 3,471.54 is: 4,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.94 : 5,396.67 = 3,471.54 : x
  2. Step 2: Convert to fraction form
    3,908.94/5,396.67 = 3,471.54/x
  3. Step 3: Cross multiply
    3,908.94x = 5,396.67 × 3,471.54
  4. Step 4: Simplify right side
    3,908.94x = 18,734,755.77
  5. Step 5: Solve for x
    x = 18,734,755.77/3,908.94
  6. Step 6: Final answer
    x = 4,792.80

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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.