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Finding the Fourth Proportional to 3,406.56, 5,112.87 and 1,764.23

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Solution

The fourth proportional to 3,406.56, 5,112.87 and 1,764.23 is: 2,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.56 : 5,112.87 = 1,764.23 : x
  2. Step 2: Convert to fraction form
    3,406.56/5,112.87 = 1,764.23/x
  3. Step 3: Cross multiply
    3,406.56x = 5,112.87 × 1,764.23
  4. Step 4: Simplify right side
    3,406.56x = 9,020,285.14
  5. Step 5: Solve for x
    x = 9,020,285.14/3,406.56
  6. Step 6: Final answer
    x = 2,647.92

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