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Finding the Fourth Proportional to 3,194.83, 4,399.54 and 2,814.81

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Solution

The fourth proportional to 3,194.83, 4,399.54 and 2,814.81 is: 3,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.83 : 4,399.54 = 2,814.81 : x
  2. Step 2: Convert to fraction form
    3,194.83/4,399.54 = 2,814.81/x
  3. Step 3: Cross multiply
    3,194.83x = 4,399.54 × 2,814.81
  4. Step 4: Simplify right side
    3,194.83x = 12,383,869.19
  5. Step 5: Solve for x
    x = 12,383,869.19/3,194.83
  6. Step 6: Final answer
    x = 3,876.22

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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.