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Finding the Fourth Proportional to 4,160.78, 5,741.91 and 2,297.78

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Solution

The fourth proportional to 4,160.78, 5,741.91 and 2,297.78 is: 3,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.78 : 5,741.91 = 2,297.78 : x
  2. Step 2: Convert to fraction form
    4,160.78/5,741.91 = 2,297.78/x
  3. Step 3: Cross multiply
    4,160.78x = 5,741.91 × 2,297.78
  4. Step 4: Simplify right side
    4,160.78x = 13,193,645.96
  5. Step 5: Solve for x
    x = 13,193,645.96/4,160.78
  6. Step 6: Final answer
    x = 3,170.95

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