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Finding the Fourth Proportional to 4,161.78, 5,741.96 and 3,847.10

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Solution

The fourth proportional to 4,161.78, 5,741.96 and 3,847.10 is: 5,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.78 : 5,741.96 = 3,847.10 : x
  2. Step 2: Convert to fraction form
    4,161.78/5,741.96 = 3,847.10/x
  3. Step 3: Cross multiply
    4,161.78x = 5,741.96 × 3,847.10
  4. Step 4: Simplify right side
    4,161.78x = 22,089,846.37
  5. Step 5: Solve for x
    x = 22,089,846.37/4,161.78
  6. Step 6: Final answer
    x = 5,307.79

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