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Finding the Fourth Proportional to 3,682.67, 5,524.83 and 1,217.75

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Solution

The fourth proportional to 3,682.67, 5,524.83 and 1,217.75 is: 1,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.67 : 5,524.83 = 1,217.75 : x
  2. Step 2: Convert to fraction form
    3,682.67/5,524.83 = 1,217.75/x
  3. Step 3: Cross multiply
    3,682.67x = 5,524.83 × 1,217.75
  4. Step 4: Simplify right side
    3,682.67x = 6,727,834.11
  5. Step 5: Solve for x
    x = 6,727,834.11/3,682.67
  6. Step 6: Final answer
    x = 1,826.89

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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.