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Finding the Fourth Proportional to 5,645.79, 8,469.24 and 1,947.54

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Solution

The fourth proportional to 5,645.79, 8,469.24 and 1,947.54 is: 2,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.79 : 8,469.24 = 1,947.54 : x
  2. Step 2: Convert to fraction form
    5,645.79/8,469.24 = 1,947.54/x
  3. Step 3: Cross multiply
    5,645.79x = 8,469.24 × 1,947.54
  4. Step 4: Simplify right side
    5,645.79x = 16,494,183.67
  5. Step 5: Solve for x
    x = 16,494,183.67/5,645.79
  6. Step 6: Final answer
    x = 2,921.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.