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Finding the Fourth Proportional to 3,144.42, 4,706.91 and 2,813.94

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Solution

The fourth proportional to 3,144.42, 4,706.91 and 2,813.94 is: 4,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.42 : 4,706.91 = 2,813.94 : x
  2. Step 2: Convert to fraction form
    3,144.42/4,706.91 = 2,813.94/x
  3. Step 3: Cross multiply
    3,144.42x = 4,706.91 × 2,813.94
  4. Step 4: Simplify right side
    3,144.42x = 13,244,962.33
  5. Step 5: Solve for x
    x = 13,244,962.33/3,144.42
  6. Step 6: Final answer
    x = 4,212.21

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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.