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Finding the Fourth Proportional to 3,946.56, 5,923.56 and 2,000.16

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Solution

The fourth proportional to 3,946.56, 5,923.56 and 2,000.16 is: 3,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.56 : 5,923.56 = 2,000.16 : x
  2. Step 2: Convert to fraction form
    3,946.56/5,923.56 = 2,000.16/x
  3. Step 3: Cross multiply
    3,946.56x = 5,923.56 × 2,000.16
  4. Step 4: Simplify right side
    3,946.56x = 11,848,067.77
  5. Step 5: Solve for x
    x = 11,848,067.77/3,946.56
  6. Step 6: Final answer
    x = 3,002.13

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