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Finding the Fourth Proportional to 3,680.56, 5,531.76 and 3,408.96

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Solution

The fourth proportional to 3,680.56, 5,531.76 and 3,408.96 is: 5,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.56 : 5,531.76 = 3,408.96 : x
  2. Step 2: Convert to fraction form
    3,680.56/5,531.76 = 3,408.96/x
  3. Step 3: Cross multiply
    3,680.56x = 5,531.76 × 3,408.96
  4. Step 4: Simplify right side
    3,680.56x = 18,857,548.57
  5. Step 5: Solve for x
    x = 18,857,548.57/3,680.56
  6. Step 6: Final answer
    x = 5,123.55

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