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Finding the Fourth Proportional to 5,144.82, 7,717.23 and 4,004.34

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Solution

The fourth proportional to 5,144.82, 7,717.23 and 4,004.34 is: 6,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.82 : 7,717.23 = 4,004.34 : x
  2. Step 2: Convert to fraction form
    5,144.82/7,717.23 = 4,004.34/x
  3. Step 3: Cross multiply
    5,144.82x = 7,717.23 × 4,004.34
  4. Step 4: Simplify right side
    5,144.82x = 30,902,412.78
  5. Step 5: Solve for x
    x = 30,902,412.78/5,144.82
  6. Step 6: Final answer
    x = 6,006.51

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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.