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Finding the Fourth Proportional to 4,311.99, 6,455.22 and 2,663.23

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Solution

The fourth proportional to 4,311.99, 6,455.22 and 2,663.23 is: 3,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.99 : 6,455.22 = 2,663.23 : x
  2. Step 2: Convert to fraction form
    4,311.99/6,455.22 = 2,663.23/x
  3. Step 3: Cross multiply
    4,311.99x = 6,455.22 × 2,663.23
  4. Step 4: Simplify right side
    4,311.99x = 17,191,735.56
  5. Step 5: Solve for x
    x = 17,191,735.56/4,311.99
  6. Step 6: Final answer
    x = 3,986.96

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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.