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Finding the Fourth Proportional to 3,200.22, 4,796.19 and 1,638.93

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Solution

The fourth proportional to 3,200.22, 4,796.19 and 1,638.93 is: 2,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.22 : 4,796.19 = 1,638.93 : x
  2. Step 2: Convert to fraction form
    3,200.22/4,796.19 = 1,638.93/x
  3. Step 3: Cross multiply
    3,200.22x = 4,796.19 × 1,638.93
  4. Step 4: Simplify right side
    3,200.22x = 7,860,619.68
  5. Step 5: Solve for x
    x = 7,860,619.68/3,200.22
  6. Step 6: Final answer
    x = 2,456.27

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