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Finding the Fourth Proportional to 3,840.68, 5,302.80 and 2,942.87

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Solution

The fourth proportional to 3,840.68, 5,302.80 and 2,942.87 is: 4,063.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.68 : 5,302.80 = 2,942.87 : x
  2. Step 2: Convert to fraction form
    3,840.68/5,302.80 = 2,942.87/x
  3. Step 3: Cross multiply
    3,840.68x = 5,302.80 × 2,942.87
  4. Step 4: Simplify right side
    3,840.68x = 15,605,424.52
  5. Step 5: Solve for x
    x = 15,605,424.52/3,840.68
  6. Step 6: Final answer
    x = 4,063.19

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