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Finding the Fourth Proportional to 5,309.46, 7,960.95 and 4,382.82

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Solution

The fourth proportional to 5,309.46, 7,960.95 and 4,382.82 is: 6,571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.46 : 7,960.95 = 4,382.82 : x
  2. Step 2: Convert to fraction form
    5,309.46/7,960.95 = 4,382.82/x
  3. Step 3: Cross multiply
    5,309.46x = 7,960.95 × 4,382.82
  4. Step 4: Simplify right side
    5,309.46x = 34,891,410.88
  5. Step 5: Solve for x
    x = 34,891,410.88/5,309.46
  6. Step 6: Final answer
    x = 6,571.56

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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.