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Finding the Fourth Proportional to 5,105.25, 7,045.25 and 3,115.49

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Solution

The fourth proportional to 5,105.25, 7,045.25 and 3,115.49 is: 4,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.25 : 7,045.25 = 3,115.49 : x
  2. Step 2: Convert to fraction form
    5,105.25/7,045.25 = 3,115.49/x
  3. Step 3: Cross multiply
    5,105.25x = 7,045.25 × 3,115.49
  4. Step 4: Simplify right side
    5,105.25x = 21,949,355.12
  5. Step 5: Solve for x
    x = 21,949,355.12/5,105.25
  6. Step 6: Final answer
    x = 4,299.37

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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.