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Finding the Fourth Proportional to 3,932.30, 5,896.94 and 1,591.72

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Solution

The fourth proportional to 3,932.30, 5,896.94 and 1,591.72 is: 2,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.30 : 5,896.94 = 1,591.72 : x
  2. Step 2: Convert to fraction form
    3,932.30/5,896.94 = 1,591.72/x
  3. Step 3: Cross multiply
    3,932.30x = 5,896.94 × 1,591.72
  4. Step 4: Simplify right side
    3,932.30x = 9,386,254.64
  5. Step 5: Solve for x
    x = 9,386,254.64/3,932.30
  6. Step 6: Final answer
    x = 2,386.96

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