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Finding the Fourth Proportional to 5,260.97, 7,257.86 and 3,022.33

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Solution

The fourth proportional to 5,260.97, 7,257.86 and 3,022.33 is: 4,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.97 : 7,257.86 = 3,022.33 : x
  2. Step 2: Convert to fraction form
    5,260.97/7,257.86 = 3,022.33/x
  3. Step 3: Cross multiply
    5,260.97x = 7,257.86 × 3,022.33
  4. Step 4: Simplify right side
    5,260.97x = 21,935,648.01
  5. Step 5: Solve for x
    x = 21,935,648.01/5,260.97
  6. Step 6: Final answer
    x = 4,169.51

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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.