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Finding the Fourth Proportional to 4,806.72, 7,211.04 and 1,728.96

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Solution

The fourth proportional to 4,806.72, 7,211.04 and 1,728.96 is: 2,593.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.72 : 7,211.04 = 1,728.96 : x
  2. Step 2: Convert to fraction form
    4,806.72/7,211.04 = 1,728.96/x
  3. Step 3: Cross multiply
    4,806.72x = 7,211.04 × 1,728.96
  4. Step 4: Simplify right side
    4,806.72x = 12,467,599.72
  5. Step 5: Solve for x
    x = 12,467,599.72/4,806.72
  6. Step 6: Final answer
    x = 2,593.79

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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.