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Finding the Fourth Proportional to 3,827.93, 5,738.82 and 2,185.63

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Solution

The fourth proportional to 3,827.93, 5,738.82 and 2,185.63 is: 3,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.93 : 5,738.82 = 2,185.63 : x
  2. Step 2: Convert to fraction form
    3,827.93/5,738.82 = 2,185.63/x
  3. Step 3: Cross multiply
    3,827.93x = 5,738.82 × 2,185.63
  4. Step 4: Simplify right side
    3,827.93x = 12,542,965.34
  5. Step 5: Solve for x
    x = 12,542,965.34/3,827.93
  6. Step 6: Final answer
    x = 3,276.69

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