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Finding the Fourth Proportional to 5,240.02, 7,849.23 and 3,782.02

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Solution

The fourth proportional to 5,240.02, 7,849.23 and 3,782.02 is: 5,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.02 : 7,849.23 = 3,782.02 : x
  2. Step 2: Convert to fraction form
    5,240.02/7,849.23 = 3,782.02/x
  3. Step 3: Cross multiply
    5,240.02x = 7,849.23 × 3,782.02
  4. Step 4: Simplify right side
    5,240.02x = 29,685,944.84
  5. Step 5: Solve for x
    x = 29,685,944.84/5,240.02
  6. Step 6: Final answer
    x = 5,665.24

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