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Finding the Fourth Proportional to 3,765, 5,195.70 and 2,194.14

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Solution

The fourth proportional to 3,765, 5,195.70 and 2,194.14 is: 3,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765 : 5,195.70 = 2,194.14 : x
  2. Step 2: Convert to fraction form
    3,765/5,195.70 = 2,194.14/x
  3. Step 3: Cross multiply
    3,765x = 5,195.70 × 2,194.14
  4. Step 4: Simplify right side
    3,765x = 11,400,093.20
  5. Step 5: Solve for x
    x = 11,400,093.20/3,765
  6. Step 6: Final answer
    x = 3,027.91

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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.