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Finding the Fourth Proportional to 4,914.25, 6,781.67 and 2,706.25

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Solution

The fourth proportional to 4,914.25, 6,781.67 and 2,706.25 is: 3,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.25 : 6,781.67 = 2,706.25 : x
  2. Step 2: Convert to fraction form
    4,914.25/6,781.67 = 2,706.25/x
  3. Step 3: Cross multiply
    4,914.25x = 6,781.67 × 2,706.25
  4. Step 4: Simplify right side
    4,914.25x = 18,352,894.44
  5. Step 5: Solve for x
    x = 18,352,894.44/4,914.25
  6. Step 6: Final answer
    x = 3,734.63

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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.