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Finding the Fourth Proportional to 3,233.14, 4,463.09 and 2,844.34

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Solution

The fourth proportional to 3,233.14, 4,463.09 and 2,844.34 is: 3,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.14 : 4,463.09 = 2,844.34 : x
  2. Step 2: Convert to fraction form
    3,233.14/4,463.09 = 2,844.34/x
  3. Step 3: Cross multiply
    3,233.14x = 4,463.09 × 2,844.34
  4. Step 4: Simplify right side
    3,233.14x = 12,694,545.41
  5. Step 5: Solve for x
    x = 12,694,545.41/3,233.14
  6. Step 6: Final answer
    x = 3,926.38

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Why These Related Problems?

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