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Finding the Fourth Proportional to 3,412.28, 5,108.92 and 1,742.82

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Solution

The fourth proportional to 3,412.28, 5,108.92 and 1,742.82 is: 2,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.28 : 5,108.92 = 1,742.82 : x
  2. Step 2: Convert to fraction form
    3,412.28/5,108.92 = 1,742.82/x
  3. Step 3: Cross multiply
    3,412.28x = 5,108.92 × 1,742.82
  4. Step 4: Simplify right side
    3,412.28x = 8,903,927.95
  5. Step 5: Solve for x
    x = 8,903,927.95/3,412.28
  6. Step 6: Final answer
    x = 2,609.38

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