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Finding the Fourth Proportional to 3,463.41, 5,213.83 and 3,162.09

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Solution

The fourth proportional to 3,463.41, 5,213.83 and 3,162.09 is: 4,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.41 : 5,213.83 = 3,162.09 : x
  2. Step 2: Convert to fraction form
    3,463.41/5,213.83 = 3,162.09/x
  3. Step 3: Cross multiply
    3,463.41x = 5,213.83 × 3,162.09
  4. Step 4: Simplify right side
    3,463.41x = 16,486,599.70
  5. Step 5: Solve for x
    x = 16,486,599.70/3,463.41
  6. Step 6: Final answer
    x = 4,760.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.