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Finding the Fourth Proportional to 3,742.38, 5,164.39 and 2,063.74

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Solution

The fourth proportional to 3,742.38, 5,164.39 and 2,063.74 is: 2,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.38 : 5,164.39 = 2,063.74 : x
  2. Step 2: Convert to fraction form
    3,742.38/5,164.39 = 2,063.74/x
  3. Step 3: Cross multiply
    3,742.38x = 5,164.39 × 2,063.74
  4. Step 4: Simplify right side
    3,742.38x = 10,657,947.90
  5. Step 5: Solve for x
    x = 10,657,947.90/3,742.38
  6. Step 6: Final answer
    x = 2,847.91

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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.