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Finding the Fourth Proportional to 5,245.75, 7,845.38 and 4,664.82

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Solution

The fourth proportional to 5,245.75, 7,845.38 and 4,664.82 is: 6,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.75 : 7,845.38 = 4,664.82 : x
  2. Step 2: Convert to fraction form
    5,245.75/7,845.38 = 4,664.82/x
  3. Step 3: Cross multiply
    5,245.75x = 7,845.38 × 4,664.82
  4. Step 4: Simplify right side
    5,245.75x = 36,597,262.21
  5. Step 5: Solve for x
    x = 36,597,262.21/5,245.75
  6. Step 6: Final answer
    x = 6,976.56

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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.