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Finding the Fourth Proportional to 5,236.68, 7,226.82 and 2,998.56

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Solution

The fourth proportional to 5,236.68, 7,226.82 and 2,998.56 is: 4,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.68 : 7,226.82 = 2,998.56 : x
  2. Step 2: Convert to fraction form
    5,236.68/7,226.82 = 2,998.56/x
  3. Step 3: Cross multiply
    5,236.68x = 7,226.82 × 2,998.56
  4. Step 4: Simplify right side
    5,236.68x = 21,670,053.38
  5. Step 5: Solve for x
    x = 21,670,053.38/5,236.68
  6. Step 6: Final answer
    x = 4,138.13

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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.