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Finding the Fourth Proportional to 3,908.52, 5,382.84 and 3,896.64

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Solution

The fourth proportional to 3,908.52, 5,382.84 and 3,896.64 is: 5,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.52 : 5,382.84 = 3,896.64 : x
  2. Step 2: Convert to fraction form
    3,908.52/5,382.84 = 3,896.64/x
  3. Step 3: Cross multiply
    3,908.52x = 5,382.84 × 3,896.64
  4. Step 4: Simplify right side
    3,908.52x = 20,974,989.66
  5. Step 5: Solve for x
    x = 20,974,989.66/3,908.52
  6. Step 6: Final answer
    x = 5,366.48

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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.