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Finding the Fourth Proportional to 3,930.75, 5,895.71 and 1,157.43

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Solution

The fourth proportional to 3,930.75, 5,895.71 and 1,157.43 is: 1,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.75 : 5,895.71 = 1,157.43 : x
  2. Step 2: Convert to fraction form
    3,930.75/5,895.71 = 1,157.43/x
  3. Step 3: Cross multiply
    3,930.75x = 5,895.71 × 1,157.43
  4. Step 4: Simplify right side
    3,930.75x = 6,823,865.84
  5. Step 5: Solve for x
    x = 6,823,865.84/3,930.75
  6. Step 6: Final answer
    x = 1,736.02

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