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Finding the Fourth Proportional to 3,896.46, 5,845.77 and 2,047.14

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Solution

The fourth proportional to 3,896.46, 5,845.77 and 2,047.14 is: 3,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.46 : 5,845.77 = 2,047.14 : x
  2. Step 2: Convert to fraction form
    3,896.46/5,845.77 = 2,047.14/x
  3. Step 3: Cross multiply
    3,896.46x = 5,845.77 × 2,047.14
  4. Step 4: Simplify right side
    3,896.46x = 11,967,109.60
  5. Step 5: Solve for x
    x = 11,967,109.60/3,896.46
  6. Step 6: Final answer
    x = 3,071.28

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