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Finding the Fourth Proportional to 5,219.54, 7,201.38 and 3,229.40

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Solution

The fourth proportional to 5,219.54, 7,201.38 and 3,229.40 is: 4,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.54 : 7,201.38 = 3,229.40 : x
  2. Step 2: Convert to fraction form
    5,219.54/7,201.38 = 3,229.40/x
  3. Step 3: Cross multiply
    5,219.54x = 7,201.38 × 3,229.40
  4. Step 4: Simplify right side
    5,219.54x = 23,256,136.57
  5. Step 5: Solve for x
    x = 23,256,136.57/5,219.54
  6. Step 6: Final answer
    x = 4,455.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.