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Finding the Fourth Proportional to 3,879.17, 5,350.83 and 3,383.00

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Solution

The fourth proportional to 3,879.17, 5,350.83 and 3,383.00 is: 4,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.17 : 5,350.83 = 3,383.00 : x
  2. Step 2: Convert to fraction form
    3,879.17/5,350.83 = 3,383.00/x
  3. Step 3: Cross multiply
    3,879.17x = 5,350.83 × 3,383.00
  4. Step 4: Simplify right side
    3,879.17x = 18,101,831.14
  5. Step 5: Solve for x
    x = 18,101,831.14/3,879.17
  6. Step 6: Final answer
    x = 4,666.42

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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.