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Finding the Fourth Proportional to 3,840.76, 5,765.15 and 3,404.80

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Solution

The fourth proportional to 3,840.76, 5,765.15 and 3,404.80 is: 5,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.76 : 5,765.15 = 3,404.80 : x
  2. Step 2: Convert to fraction form
    3,840.76/5,765.15 = 3,404.80/x
  3. Step 3: Cross multiply
    3,840.76x = 5,765.15 × 3,404.80
  4. Step 4: Simplify right side
    3,840.76x = 19,629,182.72
  5. Step 5: Solve for x
    x = 19,629,182.72/3,840.76
  6. Step 6: Final answer
    x = 5,110.75

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