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Finding the Fourth Proportional to 6,478.67, 8,940.07 and 3,825.56

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Solution

The fourth proportional to 6,478.67, 8,940.07 and 3,825.56 is: 5,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.67 : 8,940.07 = 3,825.56 : x
  2. Step 2: Convert to fraction form
    6,478.67/8,940.07 = 3,825.56/x
  3. Step 3: Cross multiply
    6,478.67x = 8,940.07 × 3,825.56
  4. Step 4: Simplify right side
    6,478.67x = 34,200,786.98
  5. Step 5: Solve for x
    x = 34,200,786.98/6,478.67
  6. Step 6: Final answer
    x = 5,278.99

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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.