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Finding the Fourth Proportional to 5,260.67, 7,260.37 and 3,022.54

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Solution

The fourth proportional to 5,260.67, 7,260.37 and 3,022.54 is: 4,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.67 : 7,260.37 = 3,022.54 : x
  2. Step 2: Convert to fraction form
    5,260.67/7,260.37 = 3,022.54/x
  3. Step 3: Cross multiply
    5,260.67x = 7,260.37 × 3,022.54
  4. Step 4: Simplify right side
    5,260.67x = 21,944,733.03
  5. Step 5: Solve for x
    x = 21,944,733.03/5,260.67
  6. Step 6: Final answer
    x = 4,171.47

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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.