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Finding the Fourth Proportional to 4,512.70, 6,769.05 and 2,202.22

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Solution

The fourth proportional to 4,512.70, 6,769.05 and 2,202.22 is: 3,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.70 : 6,769.05 = 2,202.22 : x
  2. Step 2: Convert to fraction form
    4,512.70/6,769.05 = 2,202.22/x
  3. Step 3: Cross multiply
    4,512.70x = 6,769.05 × 2,202.22
  4. Step 4: Simplify right side
    4,512.70x = 14,906,937.29
  5. Step 5: Solve for x
    x = 14,906,937.29/4,512.70
  6. Step 6: Final answer
    x = 3,303.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.