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Finding the Fourth Proportional to 3,539.64, 5,306.14 and 1,198.00

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Solution

The fourth proportional to 3,539.64, 5,306.14 and 1,198.00 is: 1,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.64 : 5,306.14 = 1,198.00 : x
  2. Step 2: Convert to fraction form
    3,539.64/5,306.14 = 1,198.00/x
  3. Step 3: Cross multiply
    3,539.64x = 5,306.14 × 1,198.00
  4. Step 4: Simplify right side
    3,539.64x = 6,356,766.26
  5. Step 5: Solve for x
    x = 6,356,766.26/3,539.64
  6. Step 6: Final answer
    x = 1,795.88

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