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Finding the Fourth Proportional to 4,108.20, 5,763 and 4,108.20

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Solution

The fourth proportional to 4,108.20, 5,763 and 4,108.20 is: 5,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.20 : 5,763 = 4,108.20 : x
  2. Step 2: Convert to fraction form
    4,108.20/5,763 = 4,108.20/x
  3. Step 3: Cross multiply
    4,108.20x = 5,763 × 4,108.20
  4. Step 4: Simplify right side
    4,108.20x = 23,675,556.60
  5. Step 5: Solve for x
    x = 23,675,556.60/4,108.20
  6. Step 6: Final answer
    x = 5,763

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.