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Finding the Fourth Proportional to 6,105.96, 8,424.81 and 4,219.20

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Solution

The fourth proportional to 6,105.96, 8,424.81 and 4,219.20 is: 5,821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.96 : 8,424.81 = 4,219.20 : x
  2. Step 2: Convert to fraction form
    6,105.96/8,424.81 = 4,219.20/x
  3. Step 3: Cross multiply
    6,105.96x = 8,424.81 × 4,219.20
  4. Step 4: Simplify right side
    6,105.96x = 35,545,958.35
  5. Step 5: Solve for x
    x = 35,545,958.35/6,105.96
  6. Step 6: Final answer
    x = 5,821.52

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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.