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Finding the Fourth Proportional to 6,491.43, 8,958.56 and 3,838.23

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Solution

The fourth proportional to 6,491.43, 8,958.56 and 3,838.23 is: 5,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.43 : 8,958.56 = 3,838.23 : x
  2. Step 2: Convert to fraction form
    6,491.43/8,958.56 = 3,838.23/x
  3. Step 3: Cross multiply
    6,491.43x = 8,958.56 × 3,838.23
  4. Step 4: Simplify right side
    6,491.43x = 34,384,994.56
  5. Step 5: Solve for x
    x = 34,384,994.56/6,491.43
  6. Step 6: Final answer
    x = 5,296.98

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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.