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Finding the Fourth Proportional to 5,100.22, 7,647.14 and 2,137.86

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Solution

The fourth proportional to 5,100.22, 7,647.14 and 2,137.86 is: 3,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.22 : 7,647.14 = 2,137.86 : x
  2. Step 2: Convert to fraction form
    5,100.22/7,647.14 = 2,137.86/x
  3. Step 3: Cross multiply
    5,100.22x = 7,647.14 × 2,137.86
  4. Step 4: Simplify right side
    5,100.22x = 16,348,514.72
  5. Step 5: Solve for x
    x = 16,348,514.72/5,100.22
  6. Step 6: Final answer
    x = 3,205.45

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