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Finding the Fourth Proportional to 3,481.74, 5,216.07 and 1,724.70

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Solution

The fourth proportional to 3,481.74, 5,216.07 and 1,724.70 is: 2,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.74 : 5,216.07 = 1,724.70 : x
  2. Step 2: Convert to fraction form
    3,481.74/5,216.07 = 1,724.70/x
  3. Step 3: Cross multiply
    3,481.74x = 5,216.07 × 1,724.70
  4. Step 4: Simplify right side
    3,481.74x = 8,996,155.93
  5. Step 5: Solve for x
    x = 8,996,155.93/3,481.74
  6. Step 6: Final answer
    x = 2,583.81

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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.