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Finding the Fourth Proportional to 3,772.45, 5,205.84 and 2,093.81

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Solution

The fourth proportional to 3,772.45, 5,205.84 and 2,093.81 is: 2,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.45 : 5,205.84 = 2,093.81 : x
  2. Step 2: Convert to fraction form
    3,772.45/5,205.84 = 2,093.81/x
  3. Step 3: Cross multiply
    3,772.45x = 5,205.84 × 2,093.81
  4. Step 4: Simplify right side
    3,772.45x = 10,900,039.85
  5. Step 5: Solve for x
    x = 10,900,039.85/3,772.45
  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.