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Finding the Fourth Proportional to 3,912.68, 5,847.82 and 3,601.32

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Solution

The fourth proportional to 3,912.68, 5,847.82 and 3,601.32 is: 5,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.68 : 5,847.82 = 3,601.32 : x
  2. Step 2: Convert to fraction form
    3,912.68/5,847.82 = 3,601.32/x
  3. Step 3: Cross multiply
    3,912.68x = 5,847.82 × 3,601.32
  4. Step 4: Simplify right side
    3,912.68x = 21,059,871.12
  5. Step 5: Solve for x
    x = 21,059,871.12/3,912.68
  6. Step 6: Final answer
    x = 5,382.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.