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Finding the Fourth Proportional to 3,962.56, 5,943.90 and 1,188.64

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Solution

The fourth proportional to 3,962.56, 5,943.90 and 1,188.64 is: 1,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.56 : 5,943.90 = 1,188.64 : x
  2. Step 2: Convert to fraction form
    3,962.56/5,943.90 = 1,188.64/x
  3. Step 3: Cross multiply
    3,962.56x = 5,943.90 × 1,188.64
  4. Step 4: Simplify right side
    3,962.56x = 7,065,157.30
  5. Step 5: Solve for x
    x = 7,065,157.30/3,962.56
  6. Step 6: Final answer
    x = 1,782.98

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