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Finding the Fourth Proportional to 5,144.74, 7,100.84 and 2,906.71

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Solution

The fourth proportional to 5,144.74, 7,100.84 and 2,906.71 is: 4,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.74 : 7,100.84 = 2,906.71 : x
  2. Step 2: Convert to fraction form
    5,144.74/7,100.84 = 2,906.71/x
  3. Step 3: Cross multiply
    5,144.74x = 7,100.84 × 2,906.71
  4. Step 4: Simplify right side
    5,144.74x = 20,640,072.15
  5. Step 5: Solve for x
    x = 20,640,072.15/5,144.74
  6. Step 6: Final answer
    x = 4,011.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.