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Finding the Fourth Proportional to 3,846.56, 5,770.06 and 1,381.64

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Solution

The fourth proportional to 3,846.56, 5,770.06 and 1,381.64 is: 2,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.56 : 5,770.06 = 1,381.64 : x
  2. Step 2: Convert to fraction form
    3,846.56/5,770.06 = 1,381.64/x
  3. Step 3: Cross multiply
    3,846.56x = 5,770.06 × 1,381.64
  4. Step 4: Simplify right side
    3,846.56x = 7,972,113.39
  5. Step 5: Solve for x
    x = 7,972,113.39/3,846.56
  6. Step 6: Final answer
    x = 2,072.53

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