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Finding the Fourth Proportional to 3,768.48, 5,652.99 and 1,577.79

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Solution

The fourth proportional to 3,768.48, 5,652.99 and 1,577.79 is: 2,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.48 : 5,652.99 = 1,577.79 : x
  2. Step 2: Convert to fraction form
    3,768.48/5,652.99 = 1,577.79/x
  3. Step 3: Cross multiply
    3,768.48x = 5,652.99 × 1,577.79
  4. Step 4: Simplify right side
    3,768.48x = 8,919,231.09
  5. Step 5: Solve for x
    x = 8,919,231.09/3,768.48
  6. Step 6: Final answer
    x = 2,366.80

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