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Finding the Fourth Proportional to 3,696.89, 5,546.39 and 1,233.32

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Solution

The fourth proportional to 3,696.89, 5,546.39 and 1,233.32 is: 1,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.89 : 5,546.39 = 1,233.32 : x
  2. Step 2: Convert to fraction form
    3,696.89/5,546.39 = 1,233.32/x
  3. Step 3: Cross multiply
    3,696.89x = 5,546.39 × 1,233.32
  4. Step 4: Simplify right side
    3,696.89x = 6,840,439.82
  5. Step 5: Solve for x
    x = 6,840,439.82/3,696.89
  6. Step 6: Final answer
    x = 1,850.33

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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.