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Finding the Fourth Proportional to 3,363.96, 5,044.11 and 1,172.10

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Solution

The fourth proportional to 3,363.96, 5,044.11 and 1,172.10 is: 1,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.96 : 5,044.11 = 1,172.10 : x
  2. Step 2: Convert to fraction form
    3,363.96/5,044.11 = 1,172.10/x
  3. Step 3: Cross multiply
    3,363.96x = 5,044.11 × 1,172.10
  4. Step 4: Simplify right side
    3,363.96x = 5,912,201.33
  5. Step 5: Solve for x
    x = 5,912,201.33/3,363.96
  6. Step 6: Final answer
    x = 1,757.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.