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Finding the Fourth Proportional to 5,495.50, 8,243.07 and 3,148.22

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Solution

The fourth proportional to 5,495.50, 8,243.07 and 3,148.22 is: 4,722.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.50 : 8,243.07 = 3,148.22 : x
  2. Step 2: Convert to fraction form
    5,495.50/8,243.07 = 3,148.22/x
  3. Step 3: Cross multiply
    5,495.50x = 8,243.07 × 3,148.22
  4. Step 4: Simplify right side
    5,495.50x = 25,950,960.27
  5. Step 5: Solve for x
    x = 25,950,960.27/5,495.50
  6. Step 6: Final answer
    x = 4,722.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.