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Finding the Fourth Proportional to 3,896, 5,842.61 and 1,262.87

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Solution

The fourth proportional to 3,896, 5,842.61 and 1,262.87 is: 1,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896 : 5,842.61 = 1,262.87 : x
  2. Step 2: Convert to fraction form
    3,896/5,842.61 = 1,262.87/x
  3. Step 3: Cross multiply
    3,896x = 5,842.61 × 1,262.87
  4. Step 4: Simplify right side
    3,896x = 7,378,456.89
  5. Step 5: Solve for x
    x = 7,378,456.89/3,896
  6. Step 6: Final answer
    x = 1,893.85

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