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Finding the Fourth Proportional to 3,363.49, 5,040.09 and 1,414.63

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Solution

The fourth proportional to 3,363.49, 5,040.09 and 1,414.63 is: 2,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.49 : 5,040.09 = 1,414.63 : x
  2. Step 2: Convert to fraction form
    3,363.49/5,040.09 = 1,414.63/x
  3. Step 3: Cross multiply
    3,363.49x = 5,040.09 × 1,414.63
  4. Step 4: Simplify right side
    3,363.49x = 7,129,862.52
  5. Step 5: Solve for x
    x = 7,129,862.52/3,363.49
  6. Step 6: Final answer
    x = 2,119.78

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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.