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Finding the Fourth Proportional to 5,247.72, 7,241.40 and 2,889

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Solution

The fourth proportional to 5,247.72, 7,241.40 and 2,889 is: 3,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.72 : 7,241.40 = 2,889 : x
  2. Step 2: Convert to fraction form
    5,247.72/7,241.40 = 2,889/x
  3. Step 3: Cross multiply
    5,247.72x = 7,241.40 × 2,889
  4. Step 4: Simplify right side
    5,247.72x = 20,920,404.60
  5. Step 5: Solve for x
    x = 20,920,404.60/5,247.72
  6. Step 6: Final answer
    x = 3,986.57

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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.