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Finding the Fourth Proportional to 3,644.67, 5,476.46 and 3,183.69

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Solution

The fourth proportional to 3,644.67, 5,476.46 and 3,183.69 is: 4,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.67 : 5,476.46 = 3,183.69 : x
  2. Step 2: Convert to fraction form
    3,644.67/5,476.46 = 3,183.69/x
  3. Step 3: Cross multiply
    3,644.67x = 5,476.46 × 3,183.69
  4. Step 4: Simplify right side
    3,644.67x = 17,435,335.02
  5. Step 5: Solve for x
    x = 17,435,335.02/3,644.67
  6. Step 6: Final answer
    x = 4,783.79

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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.