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Finding the Fourth Proportional to 5,406.24, 8,104.24 and 2,121.44

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Solution

The fourth proportional to 5,406.24, 8,104.24 and 2,121.44 is: 3,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.24 : 8,104.24 = 2,121.44 : x
  2. Step 2: Convert to fraction form
    5,406.24/8,104.24 = 2,121.44/x
  3. Step 3: Cross multiply
    5,406.24x = 8,104.24 × 2,121.44
  4. Step 4: Simplify right side
    5,406.24x = 17,192,658.91
  5. Step 5: Solve for x
    x = 17,192,658.91/5,406.24
  6. Step 6: Final answer
    x = 3,180.15

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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.