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Finding the Fourth Proportional to 5,324.45, 7,986.67 and 4,177.49

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Solution

The fourth proportional to 5,324.45, 7,986.67 and 4,177.49 is: 6,266.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.45 : 7,986.67 = 4,177.49 : x
  2. Step 2: Convert to fraction form
    5,324.45/7,986.67 = 4,177.49/x
  3. Step 3: Cross multiply
    5,324.45x = 7,986.67 × 4,177.49
  4. Step 4: Simplify right side
    5,324.45x = 33,364,183.68
  5. Step 5: Solve for x
    x = 33,364,183.68/5,324.45
  6. Step 6: Final answer
    x = 6,266.23

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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.