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Finding the Fourth Proportional to 4,162.14, 5,743.74 and 2,299.14

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Solution

The fourth proportional to 4,162.14, 5,743.74 and 2,299.14 is: 3,172.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.14 : 5,743.74 = 2,299.14 : x
  2. Step 2: Convert to fraction form
    4,162.14/5,743.74 = 2,299.14/x
  3. Step 3: Cross multiply
    4,162.14x = 5,743.74 × 2,299.14
  4. Step 4: Simplify right side
    4,162.14x = 13,205,662.38
  5. Step 5: Solve for x
    x = 13,205,662.38/4,162.14
  6. Step 6: Final answer
    x = 3,172.81

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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.