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Finding the Fourth Proportional to 3,683.67, 5,524.33 and 1,218.03

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Solution

The fourth proportional to 3,683.67, 5,524.33 and 1,218.03 is: 1,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.67 : 5,524.33 = 1,218.03 : x
  2. Step 2: Convert to fraction form
    3,683.67/5,524.33 = 1,218.03/x
  3. Step 3: Cross multiply
    3,683.67x = 5,524.33 × 1,218.03
  4. Step 4: Simplify right side
    3,683.67x = 6,728,799.67
  5. Step 5: Solve for x
    x = 6,728,799.67/3,683.67
  6. Step 6: Final answer
    x = 1,826.66

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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.