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Finding the Fourth Proportional to 3,546.73, 4,892.72 and 2,129.73

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Solution

The fourth proportional to 3,546.73, 4,892.72 and 2,129.73 is: 2,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.73 : 4,892.72 = 2,129.73 : x
  2. Step 2: Convert to fraction form
    3,546.73/4,892.72 = 2,129.73/x
  3. Step 3: Cross multiply
    3,546.73x = 4,892.72 × 2,129.73
  4. Step 4: Simplify right side
    3,546.73x = 10,420,172.57
  5. Step 5: Solve for x
    x = 10,420,172.57/3,546.73
  6. Step 6: Final answer
    x = 2,937.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.