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Finding the Fourth Proportional to 3,722.56, 5,583.84 and 1,414.06

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Solution

The fourth proportional to 3,722.56, 5,583.84 and 1,414.06 is: 2,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.56 : 5,583.84 = 1,414.06 : x
  2. Step 2: Convert to fraction form
    3,722.56/5,583.84 = 1,414.06/x
  3. Step 3: Cross multiply
    3,722.56x = 5,583.84 × 1,414.06
  4. Step 4: Simplify right side
    3,722.56x = 7,895,884.79
  5. Step 5: Solve for x
    x = 7,895,884.79/3,722.56
  6. Step 6: Final answer
    x = 2,121.09

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