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Finding the Fourth Proportional to 4,366.71, 6,524.55 and 4,213.62

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Solution

The fourth proportional to 4,366.71, 6,524.55 and 4,213.62 is: 6,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366.71 : 6,524.55 = 4,213.62 : x
  2. Step 2: Convert to fraction form
    4,366.71/6,524.55 = 4,213.62/x
  3. Step 3: Cross multiply
    4,366.71x = 6,524.55 × 4,213.62
  4. Step 4: Simplify right side
    4,366.71x = 27,491,974.37
  5. Step 5: Solve for x
    x = 27,491,974.37/4,366.71
  6. Step 6: Final answer
    x = 6,295.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.