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Finding the Fourth Proportional to 3,991.50, 5,509.06 and 2,313.27

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Solution

The fourth proportional to 3,991.50, 5,509.06 and 2,313.27 is: 3,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.50 : 5,509.06 = 2,313.27 : x
  2. Step 2: Convert to fraction form
    3,991.50/5,509.06 = 2,313.27/x
  3. Step 3: Cross multiply
    3,991.50x = 5,509.06 × 2,313.27
  4. Step 4: Simplify right side
    3,991.50x = 12,743,937.44
  5. Step 5: Solve for x
    x = 12,743,937.44/3,991.50
  6. Step 6: Final answer
    x = 3,192.77

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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.