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Finding the Fourth Proportional to 4,165.86, 5,749.70 and 2,675.66

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Solution

The fourth proportional to 4,165.86, 5,749.70 and 2,675.66 is: 3,692.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.86 : 5,749.70 = 2,675.66 : x
  2. Step 2: Convert to fraction form
    4,165.86/5,749.70 = 2,675.66/x
  3. Step 3: Cross multiply
    4,165.86x = 5,749.70 × 2,675.66
  4. Step 4: Simplify right side
    4,165.86x = 15,384,243.30
  5. Step 5: Solve for x
    x = 15,384,243.30/4,165.86
  6. Step 6: Final answer
    x = 3,692.93

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