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Finding the Fourth Proportional to 3,665.12, 5,057.94 and 2,093.72

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Solution

The fourth proportional to 3,665.12, 5,057.94 and 2,093.72 is: 2,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.12 : 5,057.94 = 2,093.72 : x
  2. Step 2: Convert to fraction form
    3,665.12/5,057.94 = 2,093.72/x
  3. Step 3: Cross multiply
    3,665.12x = 5,057.94 × 2,093.72
  4. Step 4: Simplify right side
    3,665.12x = 10,589,910.14
  5. Step 5: Solve for x
    x = 10,589,910.14/3,665.12
  6. Step 6: Final answer
    x = 2,889.38

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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.