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Finding the Fourth Proportional to 3,764.82, 5,193.74 and 2,192

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Solution

The fourth proportional to 3,764.82, 5,193.74 and 2,192 is: 3,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.82 : 5,193.74 = 2,192 : x
  2. Step 2: Convert to fraction form
    3,764.82/5,193.74 = 2,192/x
  3. Step 3: Cross multiply
    3,764.82x = 5,193.74 × 2,192
  4. Step 4: Simplify right side
    3,764.82x = 11,384,678.08
  5. Step 5: Solve for x
    x = 11,384,678.08/3,764.82
  6. Step 6: Final answer
    x = 3,023.96

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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.