Home / 5,920.08-8,164.44-3,822

Finding the Fourth Proportional to 5,920.08, 8,164.44 and 3,822

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Solution

The fourth proportional to 5,920.08, 8,164.44 and 3,822 is: 5,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.08 : 8,164.44 = 3,822 : x
  2. Step 2: Convert to fraction form
    5,920.08/8,164.44 = 3,822/x
  3. Step 3: Cross multiply
    5,920.08x = 8,164.44 × 3,822
  4. Step 4: Simplify right side
    5,920.08x = 31,204,489.68
  5. Step 5: Solve for x
    x = 31,204,489.68/5,920.08
  6. Step 6: Final answer
    x = 5,270.96

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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.