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Finding the Fourth Proportional to 3,770.40, 5,646.96 and 2,731.68

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Solution

The fourth proportional to 3,770.40, 5,646.96 and 2,731.68 is: 4,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.40 : 5,646.96 = 2,731.68 : x
  2. Step 2: Convert to fraction form
    3,770.40/5,646.96 = 2,731.68/x
  3. Step 3: Cross multiply
    3,770.40x = 5,646.96 × 2,731.68
  4. Step 4: Simplify right side
    3,770.40x = 15,425,687.69
  5. Step 5: Solve for x
    x = 15,425,687.69/3,770.40
  6. Step 6: Final answer
    x = 4,091.26

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