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Finding the Fourth Proportional to 4,269.44, 5,891.62 and 2,381.22

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Solution

The fourth proportional to 4,269.44, 5,891.62 and 2,381.22 is: 3,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.44 : 5,891.62 = 2,381.22 : x
  2. Step 2: Convert to fraction form
    4,269.44/5,891.62 = 2,381.22/x
  3. Step 3: Cross multiply
    4,269.44x = 5,891.62 × 2,381.22
  4. Step 4: Simplify right side
    4,269.44x = 14,029,243.38
  5. Step 5: Solve for x
    x = 14,029,243.38/4,269.44
  6. Step 6: Final answer
    x = 3,285.97

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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.