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Finding the Fourth Proportional to 4,997.24, 7,496.12 and 1,299.49

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Solution

The fourth proportional to 4,997.24, 7,496.12 and 1,299.49 is: 1,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.24 : 7,496.12 = 1,299.49 : x
  2. Step 2: Convert to fraction form
    4,997.24/7,496.12 = 1,299.49/x
  3. Step 3: Cross multiply
    4,997.24x = 7,496.12 × 1,299.49
  4. Step 4: Simplify right side
    4,997.24x = 9,741,117.49
  5. Step 5: Solve for x
    x = 9,741,117.49/4,997.24
  6. Step 6: Final answer
    x = 1,949.30

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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.