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Finding the Fourth Proportional to 3,363.54, 5,044.64 and 1,171.95

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Solution

The fourth proportional to 3,363.54, 5,044.64 and 1,171.95 is: 1,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.54 : 5,044.64 = 1,171.95 : x
  2. Step 2: Convert to fraction form
    3,363.54/5,044.64 = 1,171.95/x
  3. Step 3: Cross multiply
    3,363.54x = 5,044.64 × 1,171.95
  4. Step 4: Simplify right side
    3,363.54x = 5,912,059.99
  5. Step 5: Solve for x
    x = 5,912,059.99/3,363.54
  6. Step 6: Final answer
    x = 1,757.69

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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.