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Finding the Fourth Proportional to 3,817.92, 5,269.44 and 2,224.44

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Solution

The fourth proportional to 3,817.92, 5,269.44 and 2,224.44 is: 3,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.92 : 5,269.44 = 2,224.44 : x
  2. Step 2: Convert to fraction form
    3,817.92/5,269.44 = 2,224.44/x
  3. Step 3: Cross multiply
    3,817.92x = 5,269.44 × 2,224.44
  4. Step 4: Simplify right side
    3,817.92x = 11,721,553.11
  5. Step 5: Solve for x
    x = 11,721,553.11/3,817.92
  6. Step 6: Final answer
    x = 3,070.14

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1.5x scale

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.