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Finding the Fourth Proportional to 6,082.94, 8,394.44 and 3,288.44

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Solution

The fourth proportional to 6,082.94, 8,394.44 and 3,288.44 is: 4,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.94 : 8,394.44 = 3,288.44 : x
  2. Step 2: Convert to fraction form
    6,082.94/8,394.44 = 3,288.44/x
  3. Step 3: Cross multiply
    6,082.94x = 8,394.44 × 3,288.44
  4. Step 4: Simplify right side
    6,082.94x = 27,604,553.86
  5. Step 5: Solve for x
    x = 27,604,553.86/6,082.94
  6. Step 6: Final answer
    x = 4,538.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.