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Finding the Fourth Proportional to 3,835.22, 5,742.66 and 3,090.86

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Solution

The fourth proportional to 3,835.22, 5,742.66 and 3,090.86 is: 4,628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.22 : 5,742.66 = 3,090.86 : x
  2. Step 2: Convert to fraction form
    3,835.22/5,742.66 = 3,090.86/x
  3. Step 3: Cross multiply
    3,835.22x = 5,742.66 × 3,090.86
  4. Step 4: Simplify right side
    3,835.22x = 17,749,758.09
  5. Step 5: Solve for x
    x = 17,749,758.09/3,835.22
  6. Step 6: Final answer
    x = 4,628.09

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