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Finding the Fourth Proportional to 5,227.52, 7,264 and 5,162.24

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Solution

The fourth proportional to 5,227.52, 7,264 and 5,162.24 is: 7,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.52 : 7,264 = 5,162.24 : x
  2. Step 2: Convert to fraction form
    5,227.52/7,264 = 5,162.24/x
  3. Step 3: Cross multiply
    5,227.52x = 7,264 × 5,162.24
  4. Step 4: Simplify right side
    5,227.52x = 37,498,511.36
  5. Step 5: Solve for x
    x = 37,498,511.36/5,227.52
  6. Step 6: Final answer
    x = 7,173.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.