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Finding the Fourth Proportional to 5,941.82, 8,198.98 and 3,288.86

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Solution

The fourth proportional to 5,941.82, 8,198.98 and 3,288.86 is: 4,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.82 : 8,198.98 = 3,288.86 : x
  2. Step 2: Convert to fraction form
    5,941.82/8,198.98 = 3,288.86/x
  3. Step 3: Cross multiply
    5,941.82x = 8,198.98 × 3,288.86
  4. Step 4: Simplify right side
    5,941.82x = 26,965,297.36
  5. Step 5: Solve for x
    x = 26,965,297.36/5,941.82
  6. Step 6: Final answer
    x = 4,538.22

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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.