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Finding the Fourth Proportional to 5,814.24, 8,024.42 and 3,724.44

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Solution

The fourth proportional to 5,814.24, 8,024.42 and 3,724.44 is: 5,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.24 : 8,024.42 = 3,724.44 : x
  2. Step 2: Convert to fraction form
    5,814.24/8,024.42 = 3,724.44/x
  3. Step 3: Cross multiply
    5,814.24x = 8,024.42 × 3,724.44
  4. Step 4: Simplify right side
    5,814.24x = 29,886,470.82
  5. Step 5: Solve for x
    x = 29,886,470.82/5,814.24
  6. Step 6: Final answer
    x = 5,140.22

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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.