Home / 4,162-5,743.92-2,299.36

Finding the Fourth Proportional to 4,162, 5,743.92 and 2,299.36

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Solution

The fourth proportional to 4,162, 5,743.92 and 2,299.36 is: 3,173.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162 : 5,743.92 = 2,299.36 : x
  2. Step 2: Convert to fraction form
    4,162/5,743.92 = 2,299.36/x
  3. Step 3: Cross multiply
    4,162x = 5,743.92 × 2,299.36
  4. Step 4: Simplify right side
    4,162x = 13,207,339.89
  5. Step 5: Solve for x
    x = 13,207,339.89/4,162
  6. Step 6: Final answer
    x = 3,173.32

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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.