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Finding the Fourth Proportional to 3,481.94, 5,222.38 and 1,141.94

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Solution

The fourth proportional to 3,481.94, 5,222.38 and 1,141.94 is: 1,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.94 : 5,222.38 = 1,141.94 : x
  2. Step 2: Convert to fraction form
    3,481.94/5,222.38 = 1,141.94/x
  3. Step 3: Cross multiply
    3,481.94x = 5,222.38 × 1,141.94
  4. Step 4: Simplify right side
    3,481.94x = 5,963,644.62
  5. Step 5: Solve for x
    x = 5,963,644.62/3,481.94
  6. Step 6: Final answer
    x = 1,712.74

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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.