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Finding the Fourth Proportional to 3,840.06, 5,752.80 and 3,835.20

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Solution

The fourth proportional to 3,840.06, 5,752.80 and 3,835.20 is: 5,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.06 : 5,752.80 = 3,835.20 : x
  2. Step 2: Convert to fraction form
    3,840.06/5,752.80 = 3,835.20/x
  3. Step 3: Cross multiply
    3,840.06x = 5,752.80 × 3,835.20
  4. Step 4: Simplify right side
    3,840.06x = 22,063,138.56
  5. Step 5: Solve for x
    x = 22,063,138.56/3,840.06
  6. Step 6: Final answer
    x = 5,745.52

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