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Finding the Fourth Proportional to 3,911.36, 5,861.97 and 2,983.50

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Solution

The fourth proportional to 3,911.36, 5,861.97 and 2,983.50 is: 4,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.36 : 5,861.97 = 2,983.50 : x
  2. Step 2: Convert to fraction form
    3,911.36/5,861.97 = 2,983.50/x
  3. Step 3: Cross multiply
    3,911.36x = 5,861.97 × 2,983.50
  4. Step 4: Simplify right side
    3,911.36x = 17,489,187.50
  5. Step 5: Solve for x
    x = 17,489,187.50/3,911.36
  6. Step 6: Final answer
    x = 4,471.39

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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.