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Finding the Fourth Proportional to 3,208, 4,806.54 and 2,278.96

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Solution

The fourth proportional to 3,208, 4,806.54 and 2,278.96 is: 3,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208 : 4,806.54 = 2,278.96 : x
  2. Step 2: Convert to fraction form
    3,208/4,806.54 = 2,278.96/x
  3. Step 3: Cross multiply
    3,208x = 4,806.54 × 2,278.96
  4. Step 4: Simplify right side
    3,208x = 10,953,912.40
  5. Step 5: Solve for x
    x = 10,953,912.40/3,208
  6. Step 6: Final answer
    x = 3,414.56

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