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Finding the Fourth Proportional to 3,684.26, 5,524.52 and 1,218.20

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Solution

The fourth proportional to 3,684.26, 5,524.52 and 1,218.20 is: 1,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.26 : 5,524.52 = 1,218.20 : x
  2. Step 2: Convert to fraction form
    3,684.26/5,524.52 = 1,218.20/x
  3. Step 3: Cross multiply
    3,684.26x = 5,524.52 × 1,218.20
  4. Step 4: Simplify right side
    3,684.26x = 6,729,936.55
  5. Step 5: Solve for x
    x = 6,729,936.55/3,684.26
  6. Step 6: Final answer
    x = 1,826.67

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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.