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Finding the Fourth Proportional to 3,814.14, 5,273.14 and 2,817.84

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Solution

The fourth proportional to 3,814.14, 5,273.14 and 2,817.84 is: 3,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.14 : 5,273.14 = 2,817.84 : x
  2. Step 2: Convert to fraction form
    3,814.14/5,273.14 = 2,817.84/x
  3. Step 3: Cross multiply
    3,814.14x = 5,273.14 × 2,817.84
  4. Step 4: Simplify right side
    3,814.14x = 14,858,864.82
  5. Step 5: Solve for x
    x = 14,858,864.82/3,814.14
  6. Step 6: Final answer
    x = 3,895.73

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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.