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Finding the Fourth Proportional to 5,949.44, 8,924.16 and 3,896.96

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Solution

The fourth proportional to 5,949.44, 8,924.16 and 3,896.96 is: 5,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.44 : 8,924.16 = 3,896.96 : x
  2. Step 2: Convert to fraction form
    5,949.44/8,924.16 = 3,896.96/x
  3. Step 3: Cross multiply
    5,949.44x = 8,924.16 × 3,896.96
  4. Step 4: Simplify right side
    5,949.44x = 34,777,094.55
  5. Step 5: Solve for x
    x = 34,777,094.55/5,949.44
  6. Step 6: Final answer
    x = 5,845.44

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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.