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Finding the Fourth Proportional to 5,086.70, 7,633.29 and 2,165

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Solution

The fourth proportional to 5,086.70, 7,633.29 and 2,165 is: 3,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.70 : 7,633.29 = 2,165 : x
  2. Step 2: Convert to fraction form
    5,086.70/7,633.29 = 2,165/x
  3. Step 3: Cross multiply
    5,086.70x = 7,633.29 × 2,165
  4. Step 4: Simplify right side
    5,086.70x = 16,526,072.85
  5. Step 5: Solve for x
    x = 16,526,072.85/5,086.70
  6. Step 6: Final answer
    x = 3,248.88

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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.