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Finding the Fourth Proportional to 5,231.89, 7,846.17 and 1,721.09

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Solution

The fourth proportional to 5,231.89, 7,846.17 and 1,721.09 is: 2,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.89 : 7,846.17 = 1,721.09 : x
  2. Step 2: Convert to fraction form
    5,231.89/7,846.17 = 1,721.09/x
  3. Step 3: Cross multiply
    5,231.89x = 7,846.17 × 1,721.09
  4. Step 4: Simplify right side
    5,231.89x = 13,503,975.74
  5. Step 5: Solve for x
    x = 13,503,975.74/5,231.89
  6. Step 6: Final answer
    x = 2,581.09

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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.