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Finding the Fourth Proportional to 5,311.44, 7,968.17 and 2,024.26

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Solution

The fourth proportional to 5,311.44, 7,968.17 and 2,024.26 is: 3,036.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.44 : 7,968.17 = 2,024.26 : x
  2. Step 2: Convert to fraction form
    5,311.44/7,968.17 = 2,024.26/x
  3. Step 3: Cross multiply
    5,311.44x = 7,968.17 × 2,024.26
  4. Step 4: Simplify right side
    5,311.44x = 16,129,632.94
  5. Step 5: Solve for x
    x = 16,129,632.94/5,311.44
  6. Step 6: Final answer
    x = 3,036.77

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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.