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Finding the Fourth Proportional to 3,938.76, 5,906.42 and 2,089.46

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Solution

The fourth proportional to 3,938.76, 5,906.42 and 2,089.46 is: 3,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.76 : 5,906.42 = 2,089.46 : x
  2. Step 2: Convert to fraction form
    3,938.76/5,906.42 = 2,089.46/x
  3. Step 3: Cross multiply
    3,938.76x = 5,906.42 × 2,089.46
  4. Step 4: Simplify right side
    3,938.76x = 12,341,240.49
  5. Step 5: Solve for x
    x = 12,341,240.49/3,938.76
  6. Step 6: Final answer
    x = 3,133.28

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