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Finding the Fourth Proportional to 3,885.90, 5,817.42 and 2,567.22

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Solution

The fourth proportional to 3,885.90, 5,817.42 and 2,567.22 is: 3,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.90 : 5,817.42 = 2,567.22 : x
  2. Step 2: Convert to fraction form
    3,885.90/5,817.42 = 2,567.22/x
  3. Step 3: Cross multiply
    3,885.90x = 5,817.42 × 2,567.22
  4. Step 4: Simplify right side
    3,885.90x = 14,934,596.97
  5. Step 5: Solve for x
    x = 14,934,596.97/3,885.90
  6. Step 6: Final answer
    x = 3,843.28

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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.