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Finding the Fourth Proportional to 4,469.69, 6,705.99 and 3,219.27

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Solution

The fourth proportional to 4,469.69, 6,705.99 and 3,219.27 is: 4,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.69 : 6,705.99 = 3,219.27 : x
  2. Step 2: Convert to fraction form
    4,469.69/6,705.99 = 3,219.27/x
  3. Step 3: Cross multiply
    4,469.69x = 6,705.99 × 3,219.27
  4. Step 4: Simplify right side
    4,469.69x = 21,588,392.43
  5. Step 5: Solve for x
    x = 21,588,392.43/4,469.69
  6. Step 6: Final answer
    x = 4,829.95

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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.