Home / 3,096.82-4,645.92-1,537.68

Finding the Fourth Proportional to 3,096.82, 4,645.92 and 1,537.68

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Solution

The fourth proportional to 3,096.82, 4,645.92 and 1,537.68 is: 2,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.82 : 4,645.92 = 1,537.68 : x
  2. Step 2: Convert to fraction form
    3,096.82/4,645.92 = 1,537.68/x
  3. Step 3: Cross multiply
    3,096.82x = 4,645.92 × 1,537.68
  4. Step 4: Simplify right side
    3,096.82x = 7,143,938.27
  5. Step 5: Solve for x
    x = 7,143,938.27/3,096.82
  6. Step 6: Final answer
    x = 2,306.86

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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.