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Finding the Fourth Proportional to 3,842.06, 5,755.80 and 3,837.20

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Solution

The fourth proportional to 3,842.06, 5,755.80 and 3,837.20 is: 5,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.06 : 5,755.80 = 3,837.20 : x
  2. Step 2: Convert to fraction form
    3,842.06/5,755.80 = 3,837.20/x
  3. Step 3: Cross multiply
    3,842.06x = 5,755.80 × 3,837.20
  4. Step 4: Simplify right side
    3,842.06x = 22,086,155.76
  5. Step 5: Solve for x
    x = 22,086,155.76/3,842.06
  6. Step 6: Final answer
    x = 5,748.52

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