Home / 3,422.82-4,723.38-2,164.56

Finding the Fourth Proportional to 3,422.82, 4,723.38 and 2,164.56

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Solution

The fourth proportional to 3,422.82, 4,723.38 and 2,164.56 is: 2,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.82 : 4,723.38 = 2,164.56 : x
  2. Step 2: Convert to fraction form
    3,422.82/4,723.38 = 2,164.56/x
  3. Step 3: Cross multiply
    3,422.82x = 4,723.38 × 2,164.56
  4. Step 4: Simplify right side
    3,422.82x = 10,224,039.41
  5. Step 5: Solve for x
    x = 10,224,039.41/3,422.82
  6. Step 6: Final answer
    x = 2,987.02

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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.