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Finding the Fourth Proportional to 4,091.80, 6,137.70 and 2,706.70

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Solution

The fourth proportional to 4,091.80, 6,137.70 and 2,706.70 is: 4,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.80 : 6,137.70 = 2,706.70 : x
  2. Step 2: Convert to fraction form
    4,091.80/6,137.70 = 2,706.70/x
  3. Step 3: Cross multiply
    4,091.80x = 6,137.70 × 2,706.70
  4. Step 4: Simplify right side
    4,091.80x = 16,612,912.59
  5. Step 5: Solve for x
    x = 16,612,912.59/4,091.80
  6. Step 6: Final answer
    x = 4,060.05

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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.