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Finding the Fourth Proportional to 4,806.24, 7,212.24 and 1,728.48

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Solution

The fourth proportional to 4,806.24, 7,212.24 and 1,728.48 is: 2,593.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.24 : 7,212.24 = 1,728.48 : x
  2. Step 2: Convert to fraction form
    4,806.24/7,212.24 = 1,728.48/x
  3. Step 3: Cross multiply
    4,806.24x = 7,212.24 × 1,728.48
  4. Step 4: Simplify right side
    4,806.24x = 12,466,212.60
  5. Step 5: Solve for x
    x = 12,466,212.60/4,806.24
  6. Step 6: Final answer
    x = 2,593.76

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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.