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Finding the Fourth Proportional to 3,767.98, 5,198.74 and 2,195.77

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Solution

The fourth proportional to 3,767.98, 5,198.74 and 2,195.77 is: 3,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.98 : 5,198.74 = 2,195.77 : x
  2. Step 2: Convert to fraction form
    3,767.98/5,198.74 = 2,195.77/x
  3. Step 3: Cross multiply
    3,767.98x = 5,198.74 × 2,195.77
  4. Step 4: Simplify right side
    3,767.98x = 11,415,237.33
  5. Step 5: Solve for x
    x = 11,415,237.33/3,767.98
  6. Step 6: Final answer
    x = 3,029.54

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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.