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Finding the Fourth Proportional to 3,536.78, 5,306.07 and 2,077.16

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Solution

The fourth proportional to 3,536.78, 5,306.07 and 2,077.16 is: 3,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.78 : 5,306.07 = 2,077.16 : x
  2. Step 2: Convert to fraction form
    3,536.78/5,306.07 = 2,077.16/x
  3. Step 3: Cross multiply
    3,536.78x = 5,306.07 × 2,077.16
  4. Step 4: Simplify right side
    3,536.78x = 11,021,556.36
  5. Step 5: Solve for x
    x = 11,021,556.36/3,536.78
  6. Step 6: Final answer
    x = 3,116.27

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