Home / 5,072.14-7,608.22-1,609.38

Finding the Fourth Proportional to 5,072.14, 7,608.22 and 1,609.38

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Solution

The fourth proportional to 5,072.14, 7,608.22 and 1,609.38 is: 2,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.14 : 7,608.22 = 1,609.38 : x
  2. Step 2: Convert to fraction form
    5,072.14/7,608.22 = 1,609.38/x
  3. Step 3: Cross multiply
    5,072.14x = 7,608.22 × 1,609.38
  4. Step 4: Simplify right side
    5,072.14x = 12,244,517.10
  5. Step 5: Solve for x
    x = 12,244,517.10/5,072.14
  6. Step 6: Final answer
    x = 2,414.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.