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Finding the Fourth Proportional to 3,767.94, 5,198.64 and 2,195.76

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Solution

The fourth proportional to 3,767.94, 5,198.64 and 2,195.76 is: 3,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.94 : 5,198.64 = 2,195.76 : x
  2. Step 2: Convert to fraction form
    3,767.94/5,198.64 = 2,195.76/x
  3. Step 3: Cross multiply
    3,767.94x = 5,198.64 × 2,195.76
  4. Step 4: Simplify right side
    3,767.94x = 11,414,965.77
  5. Step 5: Solve for x
    x = 11,414,965.77/3,767.94
  6. Step 6: Final answer
    x = 3,029.50

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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.