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Finding the Fourth Proportional to 3,922.50, 5,884.26 and 2,073.69

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Solution

The fourth proportional to 3,922.50, 5,884.26 and 2,073.69 is: 3,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.50 : 5,884.26 = 2,073.69 : x
  2. Step 2: Convert to fraction form
    3,922.50/5,884.26 = 2,073.69/x
  3. Step 3: Cross multiply
    3,922.50x = 5,884.26 × 2,073.69
  4. Step 4: Simplify right side
    3,922.50x = 12,202,131.12
  5. Step 5: Solve for x
    x = 12,202,131.12/3,922.50
  6. Step 6: Final answer
    x = 3,110.80

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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.