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Finding the Fourth Proportional to 5,165.22, 7,732.56 and 3,406.98

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Solution

The fourth proportional to 5,165.22, 7,732.56 and 3,406.98 is: 5,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.22 : 7,732.56 = 3,406.98 : x
  2. Step 2: Convert to fraction form
    5,165.22/7,732.56 = 3,406.98/x
  3. Step 3: Cross multiply
    5,165.22x = 7,732.56 × 3,406.98
  4. Step 4: Simplify right side
    5,165.22x = 26,344,677.27
  5. Step 5: Solve for x
    x = 26,344,677.27/5,165.22
  6. Step 6: Final answer
    x = 5,100.40

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