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Finding the Fourth Proportional to 4,682.34, 7,027.92 and 3,367.44

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Solution

The fourth proportional to 4,682.34, 7,027.92 and 3,367.44 is: 5,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.34 : 7,027.92 = 3,367.44 : x
  2. Step 2: Convert to fraction form
    4,682.34/7,027.92 = 3,367.44/x
  3. Step 3: Cross multiply
    4,682.34x = 7,027.92 × 3,367.44
  4. Step 4: Simplify right side
    4,682.34x = 23,666,098.92
  5. Step 5: Solve for x
    x = 23,666,098.92/4,682.34
  6. Step 6: Final answer
    x = 5,054.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.