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Finding the Fourth Proportional to 4,571.72, 6,855.42 and 2,105.81

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Solution

The fourth proportional to 4,571.72, 6,855.42 and 2,105.81 is: 3,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.72 : 6,855.42 = 2,105.81 : x
  2. Step 2: Convert to fraction form
    4,571.72/6,855.42 = 2,105.81/x
  3. Step 3: Cross multiply
    4,571.72x = 6,855.42 × 2,105.81
  4. Step 4: Simplify right side
    4,571.72x = 14,436,211.99
  5. Step 5: Solve for x
    x = 14,436,211.99/4,571.72
  6. Step 6: Final answer
    x = 3,157.72

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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.