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Finding the Fourth Proportional to 3,742.92, 5,164.02 and 2,149.38

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Solution

The fourth proportional to 3,742.92, 5,164.02 and 2,149.38 is: 2,965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.92 : 5,164.02 = 2,149.38 : x
  2. Step 2: Convert to fraction form
    3,742.92/5,164.02 = 2,149.38/x
  3. Step 3: Cross multiply
    3,742.92x = 5,164.02 × 2,149.38
  4. Step 4: Simplify right side
    3,742.92x = 11,099,441.31
  5. Step 5: Solve for x
    x = 11,099,441.31/3,742.92
  6. Step 6: Final answer
    x = 2,965.45

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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.