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Finding the Fourth Proportional to 3,750, 5,175 and 2,094

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Solution

The fourth proportional to 3,750, 5,175 and 2,094 is: 2,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750 : 5,175 = 2,094 : x
  2. Step 2: Convert to fraction form
    3,750/5,175 = 2,094/x
  3. Step 3: Cross multiply
    3,750x = 5,175 × 2,094
  4. Step 4: Simplify right side
    3,750x = 10,836,450
  5. Step 5: Solve for x
    x = 10,836,450/3,750
  6. Step 6: Final answer
    x = 2,889.72

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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.