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Finding the Fourth Proportional to 5,137.44, 7,704.34 and 1,849.66

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Solution

The fourth proportional to 5,137.44, 7,704.34 and 1,849.66 is: 2,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.44 : 7,704.34 = 1,849.66 : x
  2. Step 2: Convert to fraction form
    5,137.44/7,704.34 = 1,849.66/x
  3. Step 3: Cross multiply
    5,137.44x = 7,704.34 × 1,849.66
  4. Step 4: Simplify right side
    5,137.44x = 14,250,409.52
  5. Step 5: Solve for x
    x = 14,250,409.52/5,137.44
  6. Step 6: Final answer
    x = 2,773.83

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