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Finding the Fourth Proportional to 3,206.98, 4,806.42 and 2,731.78

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Solution

The fourth proportional to 3,206.98, 4,806.42 and 2,731.78 is: 4,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.98 : 4,806.42 = 2,731.78 : x
  2. Step 2: Convert to fraction form
    3,206.98/4,806.42 = 2,731.78/x
  3. Step 3: Cross multiply
    3,206.98x = 4,806.42 × 2,731.78
  4. Step 4: Simplify right side
    3,206.98x = 13,130,082.03
  5. Step 5: Solve for x
    x = 13,130,082.03/3,206.98
  6. Step 6: Final answer
    x = 4,094.22

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