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Finding the Fourth Proportional to 5,469.50, 8,204.26 and 1,574.22

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Solution

The fourth proportional to 5,469.50, 8,204.26 and 1,574.22 is: 2,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.50 : 8,204.26 = 1,574.22 : x
  2. Step 2: Convert to fraction form
    5,469.50/8,204.26 = 1,574.22/x
  3. Step 3: Cross multiply
    5,469.50x = 8,204.26 × 1,574.22
  4. Step 4: Simplify right side
    5,469.50x = 12,915,310.18
  5. Step 5: Solve for x
    x = 12,915,310.18/5,469.50
  6. Step 6: Final answer
    x = 2,361.33

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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.