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Finding the Fourth Proportional to 4,141.44, 5,716.44 and 2,814.96

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Solution

The fourth proportional to 4,141.44, 5,716.44 and 2,814.96 is: 3,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.44 : 5,716.44 = 2,814.96 : x
  2. Step 2: Convert to fraction form
    4,141.44/5,716.44 = 2,814.96/x
  3. Step 3: Cross multiply
    4,141.44x = 5,716.44 × 2,814.96
  4. Step 4: Simplify right side
    4,141.44x = 16,091,549.94
  5. Step 5: Solve for x
    x = 16,091,549.94/4,141.44
  6. Step 6: Final answer
    x = 3,885.50

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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.