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Finding the Fourth Proportional to 4,850.97, 7,264.10 and 3,202.49

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Solution

The fourth proportional to 4,850.97, 7,264.10 and 3,202.49 is: 4,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,850.97 : 7,264.10 = 3,202.49 : x
  2. Step 2: Convert to fraction form
    4,850.97/7,264.10 = 3,202.49/x
  3. Step 3: Cross multiply
    4,850.97x = 7,264.10 × 3,202.49
  4. Step 4: Simplify right side
    4,850.97x = 23,263,206.54
  5. Step 5: Solve for x
    x = 23,263,206.54/4,850.97
  6. Step 6: Final answer
    x = 4,795.57

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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.