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Finding the Fourth Proportional to 3,777.84, 5,667.52 and 1,828.96

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Solution

The fourth proportional to 3,777.84, 5,667.52 and 1,828.96 is: 2,743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.84 : 5,667.52 = 1,828.96 : x
  2. Step 2: Convert to fraction form
    3,777.84/5,667.52 = 1,828.96/x
  3. Step 3: Cross multiply
    3,777.84x = 5,667.52 × 1,828.96
  4. Step 4: Simplify right side
    3,777.84x = 10,365,667.38
  5. Step 5: Solve for x
    x = 10,365,667.38/3,777.84
  6. Step 6: Final answer
    x = 2,743.81

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