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Finding the Fourth Proportional to 5,745.29, 7,927.62 and 3,227.45

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Solution

The fourth proportional to 5,745.29, 7,927.62 and 3,227.45 is: 4,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.29 : 7,927.62 = 3,227.45 : x
  2. Step 2: Convert to fraction form
    5,745.29/7,927.62 = 3,227.45/x
  3. Step 3: Cross multiply
    5,745.29x = 7,927.62 × 3,227.45
  4. Step 4: Simplify right side
    5,745.29x = 25,585,997.17
  5. Step 5: Solve for x
    x = 25,585,997.17/5,745.29
  6. Step 6: Final answer
    x = 4,453.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.