Home / 3,742.38-5,164.08-2,170.78

Finding the Fourth Proportional to 3,742.38, 5,164.08 and 2,170.78

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Solution

The fourth proportional to 3,742.38, 5,164.08 and 2,170.78 is: 2,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.38 : 5,164.08 = 2,170.78 : x
  2. Step 2: Convert to fraction form
    3,742.38/5,164.08 = 2,170.78/x
  3. Step 3: Cross multiply
    3,742.38x = 5,164.08 × 2,170.78
  4. Step 4: Simplify right side
    3,742.38x = 11,210,081.58
  5. Step 5: Solve for x
    x = 11,210,081.58/3,742.38
  6. Step 6: Final answer
    x = 2,995.44

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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.