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Finding the Fourth Proportional to 3,772.49, 5,206.05 and 2,093.93

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Solution

The fourth proportional to 3,772.49, 5,206.05 and 2,093.93 is: 2,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.49 : 5,206.05 = 2,093.93 : x
  2. Step 2: Convert to fraction form
    3,772.49/5,206.05 = 2,093.93/x
  3. Step 3: Cross multiply
    3,772.49x = 5,206.05 × 2,093.93
  4. Step 4: Simplify right side
    3,772.49x = 10,901,067.78
  5. Step 5: Solve for x
    x = 10,901,067.78/3,772.49
  6. Step 6: Final answer
    x = 2,889.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.