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Finding the Fourth Proportional to 3,682.49, 5,523.81 and 1,217.53

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Solution

The fourth proportional to 3,682.49, 5,523.81 and 1,217.53 is: 1,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.49 : 5,523.81 = 1,217.53 : x
  2. Step 2: Convert to fraction form
    3,682.49/5,523.81 = 1,217.53/x
  3. Step 3: Cross multiply
    3,682.49x = 5,523.81 × 1,217.53
  4. Step 4: Simplify right side
    3,682.49x = 6,725,370.68
  5. Step 5: Solve for x
    x = 6,725,370.68/3,682.49
  6. Step 6: Final answer
    x = 1,826.31

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