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Finding the Fourth Proportional to 3,840.75, 5,761.08 and 2,541.90

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Solution

The fourth proportional to 3,840.75, 5,761.08 and 2,541.90 is: 3,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.75 : 5,761.08 = 2,541.90 : x
  2. Step 2: Convert to fraction form
    3,840.75/5,761.08 = 2,541.90/x
  3. Step 3: Cross multiply
    3,840.75x = 5,761.08 × 2,541.90
  4. Step 4: Simplify right side
    3,840.75x = 14,644,089.25
  5. Step 5: Solve for x
    x = 14,644,089.25/3,840.75
  6. Step 6: Final answer
    x = 3,812.82

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