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Finding the Fourth Proportional to 3,706.60, 5,546.40 and 2,734.60

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Solution

The fourth proportional to 3,706.60, 5,546.40 and 2,734.60 is: 4,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.60 : 5,546.40 = 2,734.60 : x
  2. Step 2: Convert to fraction form
    3,706.60/5,546.40 = 2,734.60/x
  3. Step 3: Cross multiply
    3,706.60x = 5,546.40 × 2,734.60
  4. Step 4: Simplify right side
    3,706.60x = 15,167,185.44
  5. Step 5: Solve for x
    x = 15,167,185.44/3,706.60
  6. Step 6: Final answer
    x = 4,091.94

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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.