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Finding the Fourth Proportional to 4,135.50, 6,202.04 and 1,213.11

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Solution

The fourth proportional to 4,135.50, 6,202.04 and 1,213.11 is: 1,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.50 : 6,202.04 = 1,213.11 : x
  2. Step 2: Convert to fraction form
    4,135.50/6,202.04 = 1,213.11/x
  3. Step 3: Cross multiply
    4,135.50x = 6,202.04 × 1,213.11
  4. Step 4: Simplify right side
    4,135.50x = 7,523,750.68
  5. Step 5: Solve for x
    x = 7,523,750.68/4,135.50
  6. Step 6: Final answer
    x = 1,819.31

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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.