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Finding the Fourth Proportional to 3,930.93, 5,896.15 and 1,157.77

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Solution

The fourth proportional to 3,930.93, 5,896.15 and 1,157.77 is: 1,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.93 : 5,896.15 = 1,157.77 : x
  2. Step 2: Convert to fraction form
    3,930.93/5,896.15 = 1,157.77/x
  3. Step 3: Cross multiply
    3,930.93x = 5,896.15 × 1,157.77
  4. Step 4: Simplify right side
    3,930.93x = 6,826,385.59
  5. Step 5: Solve for x
    x = 6,826,385.59/3,930.93
  6. Step 6: Final answer
    x = 1,736.58

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