Home / 5,162.72-7,743.36-2,084

Finding the Fourth Proportional to 5,162.72, 7,743.36 and 2,084

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Solution

The fourth proportional to 5,162.72, 7,743.36 and 2,084 is: 3,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.72 : 7,743.36 = 2,084 : x
  2. Step 2: Convert to fraction form
    5,162.72/7,743.36 = 2,084/x
  3. Step 3: Cross multiply
    5,162.72x = 7,743.36 × 2,084
  4. Step 4: Simplify right side
    5,162.72x = 16,137,162.24
  5. Step 5: Solve for x
    x = 16,137,162.24/5,162.72
  6. Step 6: Final answer
    x = 3,125.71

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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.