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Finding the Fourth Proportional to 3,954.50, 5,921.22 and 2,563.82

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Solution

The fourth proportional to 3,954.50, 5,921.22 and 2,563.82 is: 3,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.50 : 5,921.22 = 2,563.82 : x
  2. Step 2: Convert to fraction form
    3,954.50/5,921.22 = 2,563.82/x
  3. Step 3: Cross multiply
    3,954.50x = 5,921.22 × 2,563.82
  4. Step 4: Simplify right side
    3,954.50x = 15,180,942.26
  5. Step 5: Solve for x
    x = 15,180,942.26/3,954.50
  6. Step 6: Final answer
    x = 3,838.90

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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.