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Finding the Fourth Proportional to 5,546.24, 8,321.03 and 3,205.71

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Solution

The fourth proportional to 5,546.24, 8,321.03 and 3,205.71 is: 4,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.24 : 8,321.03 = 3,205.71 : x
  2. Step 2: Convert to fraction form
    5,546.24/8,321.03 = 3,205.71/x
  3. Step 3: Cross multiply
    5,546.24x = 8,321.03 × 3,205.71
  4. Step 4: Simplify right side
    5,546.24x = 26,674,805.07
  5. Step 5: Solve for x
    x = 26,674,805.07/5,546.24
  6. Step 6: Final answer
    x = 4,809.53

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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.