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Finding the Fourth Proportional to 5,976.25, 8,247.49 and 3,458.48

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Solution

The fourth proportional to 5,976.25, 8,247.49 and 3,458.48 is: 4,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.25 : 8,247.49 = 3,458.48 : x
  2. Step 2: Convert to fraction form
    5,976.25/8,247.49 = 3,458.48/x
  3. Step 3: Cross multiply
    5,976.25x = 8,247.49 × 3,458.48
  4. Step 4: Simplify right side
    5,976.25x = 28,523,729.33
  5. Step 5: Solve for x
    x = 28,523,729.33/5,976.25
  6. Step 6: Final answer
    x = 4,772.85

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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.