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Finding the Fourth Proportional to 3,484.99, 5,227.23 and 1,144.97

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Solution

The fourth proportional to 3,484.99, 5,227.23 and 1,144.97 is: 1,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.99 : 5,227.23 = 1,144.97 : x
  2. Step 2: Convert to fraction form
    3,484.99/5,227.23 = 1,144.97/x
  3. Step 3: Cross multiply
    3,484.99x = 5,227.23 × 1,144.97
  4. Step 4: Simplify right side
    3,484.99x = 5,985,019.29
  5. Step 5: Solve for x
    x = 5,985,019.29/3,484.99
  6. Step 6: Final answer
    x = 1,717.37

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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.