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Finding the Fourth Proportional to 4,896.53, 7,344.75 and 1,198.78

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Solution

The fourth proportional to 4,896.53, 7,344.75 and 1,198.78 is: 1,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.53 : 7,344.75 = 1,198.78 : x
  2. Step 2: Convert to fraction form
    4,896.53/7,344.75 = 1,198.78/x
  3. Step 3: Cross multiply
    4,896.53x = 7,344.75 × 1,198.78
  4. Step 4: Simplify right side
    4,896.53x = 8,804,739.41
  5. Step 5: Solve for x
    x = 8,804,739.41/4,896.53
  6. Step 6: Final answer
    x = 1,798.16

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