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Finding the Fourth Proportional to 4,162, 5,743.62 and 2,299

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Solution

The fourth proportional to 4,162, 5,743.62 and 2,299 is: 3,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162 : 5,743.62 = 2,299 : x
  2. Step 2: Convert to fraction form
    4,162/5,743.62 = 2,299/x
  3. Step 3: Cross multiply
    4,162x = 5,743.62 × 2,299
  4. Step 4: Simplify right side
    4,162x = 13,204,582.38
  5. Step 5: Solve for x
    x = 13,204,582.38/4,162
  6. Step 6: Final answer
    x = 3,172.65

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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.