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Finding the Fourth Proportional to 3,683.56, 5,524.14 and 1,217.92

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Solution

The fourth proportional to 3,683.56, 5,524.14 and 1,217.92 is: 1,826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.56 : 5,524.14 = 1,217.92 : x
  2. Step 2: Convert to fraction form
    3,683.56/5,524.14 = 1,217.92/x
  3. Step 3: Cross multiply
    3,683.56x = 5,524.14 × 1,217.92
  4. Step 4: Simplify right side
    3,683.56x = 6,727,960.59
  5. Step 5: Solve for x
    x = 6,727,960.59/3,683.56
  6. Step 6: Final answer
    x = 1,826.48

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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.