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Finding the Fourth Proportional to 3,930.63, 5,896.94 and 1,465.53

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Solution

The fourth proportional to 3,930.63, 5,896.94 and 1,465.53 is: 2,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.63 : 5,896.94 = 1,465.53 : x
  2. Step 2: Convert to fraction form
    3,930.63/5,896.94 = 1,465.53/x
  3. Step 3: Cross multiply
    3,930.63x = 5,896.94 × 1,465.53
  4. Step 4: Simplify right side
    3,930.63x = 8,642,135.15
  5. Step 5: Solve for x
    x = 8,642,135.15/3,930.63
  6. Step 6: Final answer
    x = 2,198.66

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