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Finding the Fourth Proportional to 5,260.82, 7,259.63 and 3,023.26

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Solution

The fourth proportional to 5,260.82, 7,259.63 and 3,023.26 is: 4,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.82 : 7,259.63 = 3,023.26 : x
  2. Step 2: Convert to fraction form
    5,260.82/7,259.63 = 3,023.26/x
  3. Step 3: Cross multiply
    5,260.82x = 7,259.63 × 3,023.26
  4. Step 4: Simplify right side
    5,260.82x = 21,947,715.73
  5. Step 5: Solve for x
    x = 21,947,715.73/5,260.82
  6. Step 6: Final answer
    x = 4,171.92

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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.