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Finding the Fourth Proportional to 3,894.56, 5,835.32 and 2,738.24

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Solution

The fourth proportional to 3,894.56, 5,835.32 and 2,738.24 is: 4,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.56 : 5,835.32 = 2,738.24 : x
  2. Step 2: Convert to fraction form
    3,894.56/5,835.32 = 2,738.24/x
  3. Step 3: Cross multiply
    3,894.56x = 5,835.32 × 2,738.24
  4. Step 4: Simplify right side
    3,894.56x = 15,978,506.64
  5. Step 5: Solve for x
    x = 15,978,506.64/3,894.56
  6. Step 6: Final answer
    x = 4,102.78

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