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Finding the Fourth Proportional to 5,236.89, 7,853.22 and 2,114.88

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Solution

The fourth proportional to 5,236.89, 7,853.22 and 2,114.88 is: 3,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.89 : 7,853.22 = 2,114.88 : x
  2. Step 2: Convert to fraction form
    5,236.89/7,853.22 = 2,114.88/x
  3. Step 3: Cross multiply
    5,236.89x = 7,853.22 × 2,114.88
  4. Step 4: Simplify right side
    5,236.89x = 16,608,617.91
  5. Step 5: Solve for x
    x = 16,608,617.91/5,236.89
  6. Step 6: Final answer
    x = 3,171.47

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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.