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Finding the Fourth Proportional to 3,682, 5,523.38 and 1,217.56

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Solution

The fourth proportional to 3,682, 5,523.38 and 1,217.56 is: 1,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682 : 5,523.38 = 1,217.56 : x
  2. Step 2: Convert to fraction form
    3,682/5,523.38 = 1,217.56/x
  3. Step 3: Cross multiply
    3,682x = 5,523.38 × 1,217.56
  4. Step 4: Simplify right side
    3,682x = 6,725,046.55
  5. Step 5: Solve for x
    x = 6,725,046.55/3,682
  6. Step 6: Final answer
    x = 1,826.47

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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.