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Finding the Fourth Proportional to 3,849.60, 5,778.72 and 2,553.60

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Solution

The fourth proportional to 3,849.60, 5,778.72 and 2,553.60 is: 3,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.60 : 5,778.72 = 2,553.60 : x
  2. Step 2: Convert to fraction form
    3,849.60/5,778.72 = 2,553.60/x
  3. Step 3: Cross multiply
    3,849.60x = 5,778.72 × 2,553.60
  4. Step 4: Simplify right side
    3,849.60x = 14,756,539.39
  5. Step 5: Solve for x
    x = 14,756,539.39/3,849.60
  6. Step 6: Final answer
    x = 3,833.27

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