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Finding the Fourth Proportional to 5,163.52, 7,764 and 4,757.68

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Solution

The fourth proportional to 5,163.52, 7,764 and 4,757.68 is: 7,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.52 : 7,764 = 4,757.68 : x
  2. Step 2: Convert to fraction form
    5,163.52/7,764 = 4,757.68/x
  3. Step 3: Cross multiply
    5,163.52x = 7,764 × 4,757.68
  4. Step 4: Simplify right side
    5,163.52x = 36,938,627.52
  5. Step 5: Solve for x
    x = 36,938,627.52/5,163.52
  6. Step 6: Final answer
    x = 7,153.77

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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.