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Finding the Fourth Proportional to 5,143.21, 7,722.09 and 4,908.31

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Solution

The fourth proportional to 5,143.21, 7,722.09 and 4,908.31 is: 7,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.21 : 7,722.09 = 4,908.31 : x
  2. Step 2: Convert to fraction form
    5,143.21/7,722.09 = 4,908.31/x
  3. Step 3: Cross multiply
    5,143.21x = 7,722.09 × 4,908.31
  4. Step 4: Simplify right side
    5,143.21x = 37,902,411.57
  5. Step 5: Solve for x
    x = 37,902,411.57/5,143.21
  6. Step 6: Final answer
    x = 7,369.41

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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.