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Finding the Fourth Proportional to 5,960.76, 8,229.84 and 5,329.24

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Solution

The fourth proportional to 5,960.76, 8,229.84 and 5,329.24 is: 7,357.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.76 : 8,229.84 = 5,329.24 : x
  2. Step 2: Convert to fraction form
    5,960.76/8,229.84 = 5,329.24/x
  3. Step 3: Cross multiply
    5,960.76x = 8,229.84 × 5,329.24
  4. Step 4: Simplify right side
    5,960.76x = 43,858,792.52
  5. Step 5: Solve for x
    x = 43,858,792.52/5,960.76
  6. Step 6: Final answer
    x = 7,357.92

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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.