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Finding the Fourth Proportional to 4,201.67, 6,304.64 and 1,738.26

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Solution

The fourth proportional to 4,201.67, 6,304.64 and 1,738.26 is: 2,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.67 : 6,304.64 = 1,738.26 : x
  2. Step 2: Convert to fraction form
    4,201.67/6,304.64 = 1,738.26/x
  3. Step 3: Cross multiply
    4,201.67x = 6,304.64 × 1,738.26
  4. Step 4: Simplify right side
    4,201.67x = 10,959,094.84
  5. Step 5: Solve for x
    x = 10,959,094.84/4,201.67
  6. Step 6: Final answer
    x = 2,608.27

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