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Finding the Fourth Proportional to 5,469.88, 8,208.24 and 3,006.24

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Solution

The fourth proportional to 5,469.88, 8,208.24 and 3,006.24 is: 4,511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.88 : 8,208.24 = 3,006.24 : x
  2. Step 2: Convert to fraction form
    5,469.88/8,208.24 = 3,006.24/x
  3. Step 3: Cross multiply
    5,469.88x = 8,208.24 × 3,006.24
  4. Step 4: Simplify right side
    5,469.88x = 24,675,939.42
  5. Step 5: Solve for x
    x = 24,675,939.42/5,469.88
  6. Step 6: Final answer
    x = 4,511.24

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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.