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Finding the Fourth Proportional to 4,771.27, 6,584.34 and 2,675.44

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Solution

The fourth proportional to 4,771.27, 6,584.34 and 2,675.44 is: 3,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.27 : 6,584.34 = 2,675.44 : x
  2. Step 2: Convert to fraction form
    4,771.27/6,584.34 = 2,675.44/x
  3. Step 3: Cross multiply
    4,771.27x = 6,584.34 × 2,675.44
  4. Step 4: Simplify right side
    4,771.27x = 17,616,006.61
  5. Step 5: Solve for x
    x = 17,616,006.61/4,771.27
  6. Step 6: Final answer
    x = 3,692.10

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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.