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Finding the Fourth Proportional to 3,987.42, 5,969.75 and 3,166.86

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Solution

The fourth proportional to 3,987.42, 5,969.75 and 3,166.86 is: 4,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.42 : 5,969.75 = 3,166.86 : x
  2. Step 2: Convert to fraction form
    3,987.42/5,969.75 = 3,166.86/x
  3. Step 3: Cross multiply
    3,987.42x = 5,969.75 × 3,166.86
  4. Step 4: Simplify right side
    3,987.42x = 18,905,362.49
  5. Step 5: Solve for x
    x = 18,905,362.49/3,987.42
  6. Step 6: Final answer
    x = 4,741.25

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