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Finding the Fourth Proportional to 3,221.54, 4,832.30 and 1,577.64

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Solution

The fourth proportional to 3,221.54, 4,832.30 and 1,577.64 is: 2,366.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.54 : 4,832.30 = 1,577.64 : x
  2. Step 2: Convert to fraction form
    3,221.54/4,832.30 = 1,577.64/x
  3. Step 3: Cross multiply
    3,221.54x = 4,832.30 × 1,577.64
  4. Step 4: Simplify right side
    3,221.54x = 7,623,629.77
  5. Step 5: Solve for x
    x = 7,623,629.77/3,221.54
  6. Step 6: Final answer
    x = 2,366.46

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