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Finding the Fourth Proportional to 6,474.33, 8,934.44 and 3,821.99

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Solution

The fourth proportional to 6,474.33, 8,934.44 and 3,821.99 is: 5,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.33 : 8,934.44 = 3,821.99 : x
  2. Step 2: Convert to fraction form
    6,474.33/8,934.44 = 3,821.99/x
  3. Step 3: Cross multiply
    6,474.33x = 8,934.44 × 3,821.99
  4. Step 4: Simplify right side
    6,474.33x = 34,147,276.55
  5. Step 5: Solve for x
    x = 34,147,276.55/6,474.33
  6. Step 6: Final answer
    x = 5,274.26

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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.