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Finding the Fourth Proportional to 5,644.73, 8,469.53 and 3,802.79

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Solution

The fourth proportional to 5,644.73, 8,469.53 and 3,802.79 is: 5,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.73 : 8,469.53 = 3,802.79 : x
  2. Step 2: Convert to fraction form
    5,644.73/8,469.53 = 3,802.79/x
  3. Step 3: Cross multiply
    5,644.73x = 8,469.53 × 3,802.79
  4. Step 4: Simplify right side
    5,644.73x = 32,207,843.99
  5. Step 5: Solve for x
    x = 32,207,843.99/5,644.73
  6. Step 6: Final answer
    x = 5,705.83

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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.