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Finding the Fourth Proportional to 3,835.72, 5,752.14 and 3,023.56

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Solution

The fourth proportional to 3,835.72, 5,752.14 and 3,023.56 is: 4,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.72 : 5,752.14 = 3,023.56 : x
  2. Step 2: Convert to fraction form
    3,835.72/5,752.14 = 3,023.56/x
  3. Step 3: Cross multiply
    3,835.72x = 5,752.14 × 3,023.56
  4. Step 4: Simplify right side
    3,835.72x = 17,391,940.42
  5. Step 5: Solve for x
    x = 17,391,940.42/3,835.72
  6. Step 6: Final answer
    x = 4,534.20

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