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Finding the Fourth Proportional to 4,771.31, 6,584.42 and 2,675.44

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Solution

The fourth proportional to 4,771.31, 6,584.42 and 2,675.44 is: 3,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.31 : 6,584.42 = 2,675.44 : x
  2. Step 2: Convert to fraction form
    4,771.31/6,584.42 = 2,675.44/x
  3. Step 3: Cross multiply
    4,771.31x = 6,584.42 × 2,675.44
  4. Step 4: Simplify right side
    4,771.31x = 17,616,190.81
  5. Step 5: Solve for x
    x = 17,616,190.81/4,771.31
  6. Step 6: Final answer
    x = 3,692.11

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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.