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Finding the Fourth Proportional to 4,229.89, 5,837.94 and 2,462.54

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Solution

The fourth proportional to 4,229.89, 5,837.94 and 2,462.54 is: 3,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.89 : 5,837.94 = 2,462.54 : x
  2. Step 2: Convert to fraction form
    4,229.89/5,837.94 = 2,462.54/x
  3. Step 3: Cross multiply
    4,229.89x = 5,837.94 × 2,462.54
  4. Step 4: Simplify right side
    4,229.89x = 14,376,131.58
  5. Step 5: Solve for x
    x = 14,376,131.58/4,229.89
  6. Step 6: Final answer
    x = 3,398.70

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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.