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Finding the Fourth Proportional to 3,697.48, 5,102.82 and 2,300.44

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Solution

The fourth proportional to 3,697.48, 5,102.82 and 2,300.44 is: 3,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.48 : 5,102.82 = 2,300.44 : x
  2. Step 2: Convert to fraction form
    3,697.48/5,102.82 = 2,300.44/x
  3. Step 3: Cross multiply
    3,697.48x = 5,102.82 × 2,300.44
  4. Step 4: Simplify right side
    3,697.48x = 11,738,731.24
  5. Step 5: Solve for x
    x = 11,738,731.24/3,697.48
  6. Step 6: Final answer
    x = 3,174.79

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