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Finding the Fourth Proportional to 5,238.56, 7,229.02 and 2,880.68

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Solution

The fourth proportional to 5,238.56, 7,229.02 and 2,880.68 is: 3,975.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.56 : 7,229.02 = 2,880.68 : x
  2. Step 2: Convert to fraction form
    5,238.56/7,229.02 = 2,880.68/x
  3. Step 3: Cross multiply
    5,238.56x = 7,229.02 × 2,880.68
  4. Step 4: Simplify right side
    5,238.56x = 20,824,493.33
  5. Step 5: Solve for x
    x = 20,824,493.33/5,238.56
  6. Step 6: Final answer
    x = 3,975.24

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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.