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Finding the Fourth Proportional to 4,183.41, 6,278.09 and 1,720.47

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Solution

The fourth proportional to 4,183.41, 6,278.09 and 1,720.47 is: 2,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.41 : 6,278.09 = 1,720.47 : x
  2. Step 2: Convert to fraction form
    4,183.41/6,278.09 = 1,720.47/x
  3. Step 3: Cross multiply
    4,183.41x = 6,278.09 × 1,720.47
  4. Step 4: Simplify right side
    4,183.41x = 10,801,265.50
  5. Step 5: Solve for x
    x = 10,801,265.50/4,183.41
  6. Step 6: Final answer
    x = 2,581.93

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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.