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Finding the Fourth Proportional to 5,233.92, 7,224.96 and 3,578.88

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Solution

The fourth proportional to 5,233.92, 7,224.96 and 3,578.88 is: 4,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.92 : 7,224.96 = 3,578.88 : x
  2. Step 2: Convert to fraction form
    5,233.92/7,224.96 = 3,578.88/x
  3. Step 3: Cross multiply
    5,233.92x = 7,224.96 × 3,578.88
  4. Step 4: Simplify right side
    5,233.92x = 25,857,264.84
  5. Step 5: Solve for x
    x = 25,857,264.84/5,233.92
  6. Step 6: Final answer
    x = 4,940.32

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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.