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Finding the Fourth Proportional to 3,814.36, 5,716.07 and 2,167.43

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Solution

The fourth proportional to 3,814.36, 5,716.07 and 2,167.43 is: 3,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.36 : 5,716.07 = 2,167.43 : x
  2. Step 2: Convert to fraction form
    3,814.36/5,716.07 = 2,167.43/x
  3. Step 3: Cross multiply
    3,814.36x = 5,716.07 × 2,167.43
  4. Step 4: Simplify right side
    3,814.36x = 12,389,150.31
  5. Step 5: Solve for x
    x = 12,389,150.31/3,814.36
  6. Step 6: Final answer
    x = 3,248.03

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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.