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Finding the Fourth Proportional to 5,940.74, 8,198.16 and 3,288.10

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Solution

The fourth proportional to 5,940.74, 8,198.16 and 3,288.10 is: 4,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.74 : 8,198.16 = 3,288.10 : x
  2. Step 2: Convert to fraction form
    5,940.74/8,198.16 = 3,288.10/x
  3. Step 3: Cross multiply
    5,940.74x = 8,198.16 × 3,288.10
  4. Step 4: Simplify right side
    5,940.74x = 26,956,369.90
  5. Step 5: Solve for x
    x = 26,956,369.90/5,940.74
  6. Step 6: Final answer
    x = 4,537.54

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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.