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Finding the Fourth Proportional to 4,257.72, 5,837.31 and 4,179.96

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Solution

The fourth proportional to 4,257.72, 5,837.31 and 4,179.96 is: 5,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.72 : 5,837.31 = 4,179.96 : x
  2. Step 2: Convert to fraction form
    4,257.72/5,837.31 = 4,179.96/x
  3. Step 3: Cross multiply
    4,257.72x = 5,837.31 × 4,179.96
  4. Step 4: Simplify right side
    4,257.72x = 24,399,722.31
  5. Step 5: Solve for x
    x = 24,399,722.31/4,257.72
  6. Step 6: Final answer
    x = 5,730.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.