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Finding the Fourth Proportional to 3,814.44, 5,716.74 and 3,773.16

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Solution

The fourth proportional to 3,814.44, 5,716.74 and 3,773.16 is: 5,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.44 : 5,716.74 = 3,773.16 : x
  2. Step 2: Convert to fraction form
    3,814.44/5,716.74 = 3,773.16/x
  3. Step 3: Cross multiply
    3,814.44x = 5,716.74 × 3,773.16
  4. Step 4: Simplify right side
    3,814.44x = 21,570,174.70
  5. Step 5: Solve for x
    x = 21,570,174.70/3,814.44
  6. Step 6: Final answer
    x = 5,654.87

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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.