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Finding the Fourth Proportional to 5,972.52, 8,942.34 and 4,507.23

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Solution

The fourth proportional to 5,972.52, 8,942.34 and 4,507.23 is: 6,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.52 : 8,942.34 = 4,507.23 : x
  2. Step 2: Convert to fraction form
    5,972.52/8,942.34 = 4,507.23/x
  3. Step 3: Cross multiply
    5,972.52x = 8,942.34 × 4,507.23
  4. Step 4: Simplify right side
    5,972.52x = 40,305,183.12
  5. Step 5: Solve for x
    x = 40,305,183.12/5,972.52
  6. Step 6: Final answer
    x = 6,748.44

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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.