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Finding the Fourth Proportional to 4,198.32, 6,306.66 and 3,644.64

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Solution

The fourth proportional to 4,198.32, 6,306.66 and 3,644.64 is: 5,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.32 : 6,306.66 = 3,644.64 : x
  2. Step 2: Convert to fraction form
    4,198.32/6,306.66 = 3,644.64/x
  3. Step 3: Cross multiply
    4,198.32x = 6,306.66 × 3,644.64
  4. Step 4: Simplify right side
    4,198.32x = 22,985,505.30
  5. Step 5: Solve for x
    x = 22,985,505.30/4,198.32
  6. Step 6: Final answer
    x = 5,474.93

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