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Finding the Fourth Proportional to 5,202.31, 7,801.83 and 1,738.75

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Solution

The fourth proportional to 5,202.31, 7,801.83 and 1,738.75 is: 2,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.31 : 7,801.83 = 1,738.75 : x
  2. Step 2: Convert to fraction form
    5,202.31/7,801.83 = 1,738.75/x
  3. Step 3: Cross multiply
    5,202.31x = 7,801.83 × 1,738.75
  4. Step 4: Simplify right side
    5,202.31x = 13,565,431.91
  5. Step 5: Solve for x
    x = 13,565,431.91/5,202.31
  6. Step 6: Final answer
    x = 2,607.58

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