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Finding the Fourth Proportional to 3,896.63, 5,846.77 and 2,254.56

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Solution

The fourth proportional to 3,896.63, 5,846.77 and 2,254.56 is: 3,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.63 : 5,846.77 = 2,254.56 : x
  2. Step 2: Convert to fraction form
    3,896.63/5,846.77 = 2,254.56/x
  3. Step 3: Cross multiply
    3,896.63x = 5,846.77 × 2,254.56
  4. Step 4: Simplify right side
    3,896.63x = 13,181,861.98
  5. Step 5: Solve for x
    x = 13,181,861.98/3,896.63
  6. Step 6: Final answer
    x = 3,382.89

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