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Finding the Fourth Proportional to 3,961.34, 5,463.02 and 3,401.62

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Solution

The fourth proportional to 3,961.34, 5,463.02 and 3,401.62 is: 4,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.34 : 5,463.02 = 3,401.62 : x
  2. Step 2: Convert to fraction form
    3,961.34/5,463.02 = 3,401.62/x
  3. Step 3: Cross multiply
    3,961.34x = 5,463.02 × 3,401.62
  4. Step 4: Simplify right side
    3,961.34x = 18,583,118.09
  5. Step 5: Solve for x
    x = 18,583,118.09/3,961.34
  6. Step 6: Final answer
    x = 4,691.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.