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Finding the Fourth Proportional to 3,770.48, 5,656.92 and 1,822.80

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Solution

The fourth proportional to 3,770.48, 5,656.92 and 1,822.80 is: 2,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.48 : 5,656.92 = 1,822.80 : x
  2. Step 2: Convert to fraction form
    3,770.48/5,656.92 = 1,822.80/x
  3. Step 3: Cross multiply
    3,770.48x = 5,656.92 × 1,822.80
  4. Step 4: Simplify right side
    3,770.48x = 10,311,433.78
  5. Step 5: Solve for x
    x = 10,311,433.78/3,770.48
  6. Step 6: Final answer
    x = 2,734.78

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