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Finding the Fourth Proportional to 4,229.28, 5,837.13 and 2,906.01

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Solution

The fourth proportional to 4,229.28, 5,837.13 and 2,906.01 is: 4,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.28 : 5,837.13 = 2,906.01 : x
  2. Step 2: Convert to fraction form
    4,229.28/5,837.13 = 2,906.01/x
  3. Step 3: Cross multiply
    4,229.28x = 5,837.13 × 2,906.01
  4. Step 4: Simplify right side
    4,229.28x = 16,962,758.15
  5. Step 5: Solve for x
    x = 16,962,758.15/4,229.28
  6. Step 6: Final answer
    x = 4,010.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.