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Finding the Fourth Proportional to 3,749.78, 5,628.16 and 1,902.20

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Solution

The fourth proportional to 3,749.78, 5,628.16 and 1,902.20 is: 2,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.78 : 5,628.16 = 1,902.20 : x
  2. Step 2: Convert to fraction form
    3,749.78/5,628.16 = 1,902.20/x
  3. Step 3: Cross multiply
    3,749.78x = 5,628.16 × 1,902.20
  4. Step 4: Simplify right side
    3,749.78x = 10,705,885.95
  5. Step 5: Solve for x
    x = 10,705,885.95/3,749.78
  6. Step 6: Final answer
    x = 2,855.07

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