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Finding the Fourth Proportional to 2,795.76, 3,850.20 and 2,735.28

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Solution

The fourth proportional to 2,795.76, 3,850.20 and 2,735.28 is: 3,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.76 : 3,850.20 = 2,735.28 : x
  2. Step 2: Convert to fraction form
    2,795.76/3,850.20 = 2,735.28/x
  3. Step 3: Cross multiply
    2,795.76x = 3,850.20 × 2,735.28
  4. Step 4: Simplify right side
    2,795.76x = 10,531,375.06
  5. Step 5: Solve for x
    x = 10,531,375.06/2,795.76
  6. Step 6: Final answer
    x = 3,766.91

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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.