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Finding the Fourth Proportional to 5,202.50, 7,180.25 and 4,091.85

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Solution

The fourth proportional to 5,202.50, 7,180.25 and 4,091.85 is: 5,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.50 : 7,180.25 = 4,091.85 : x
  2. Step 2: Convert to fraction form
    5,202.50/7,180.25 = 4,091.85/x
  3. Step 3: Cross multiply
    5,202.50x = 7,180.25 × 4,091.85
  4. Step 4: Simplify right side
    5,202.50x = 29,380,541.69
  5. Step 5: Solve for x
    x = 29,380,541.69/5,202.50
  6. Step 6: Final answer
    x = 5,647.39

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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.