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Finding the Fourth Proportional to 5,309.45, 7,960.67 and 2,969.70

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Solution

The fourth proportional to 5,309.45, 7,960.67 and 2,969.70 is: 4,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.45 : 7,960.67 = 2,969.70 : x
  2. Step 2: Convert to fraction form
    5,309.45/7,960.67 = 2,969.70/x
  3. Step 3: Cross multiply
    5,309.45x = 7,960.67 × 2,969.70
  4. Step 4: Simplify right side
    5,309.45x = 23,640,761.90
  5. Step 5: Solve for x
    x = 23,640,761.90/5,309.45
  6. Step 6: Final answer
    x = 4,452.59

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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.