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Finding the Fourth Proportional to 4,474.62, 6,172.49 and 4,157.85

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Solution

The fourth proportional to 4,474.62, 6,172.49 and 4,157.85 is: 5,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.62 : 6,172.49 = 4,157.85 : x
  2. Step 2: Convert to fraction form
    4,474.62/6,172.49 = 4,157.85/x
  3. Step 3: Cross multiply
    4,474.62x = 6,172.49 × 4,157.85
  4. Step 4: Simplify right side
    4,474.62x = 25,664,266.92
  5. Step 5: Solve for x
    x = 25,664,266.92/4,474.62
  6. Step 6: Final answer
    x = 5,735.52

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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.