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Finding the Fourth Proportional to 3,930.78, 5,896.26 and 1,297.44

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Solution

The fourth proportional to 3,930.78, 5,896.26 and 1,297.44 is: 1,946.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.78 : 5,896.26 = 1,297.44 : x
  2. Step 2: Convert to fraction form
    3,930.78/5,896.26 = 1,297.44/x
  3. Step 3: Cross multiply
    3,930.78x = 5,896.26 × 1,297.44
  4. Step 4: Simplify right side
    3,930.78x = 7,650,043.57
  5. Step 5: Solve for x
    x = 7,650,043.57/3,930.78
  6. Step 6: Final answer
    x = 1,946.19

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