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Finding the Fourth Proportional to 4,496.64, 6,711.36 and 3,834.24

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Solution

The fourth proportional to 4,496.64, 6,711.36 and 3,834.24 is: 5,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.64 : 6,711.36 = 3,834.24 : x
  2. Step 2: Convert to fraction form
    4,496.64/6,711.36 = 3,834.24/x
  3. Step 3: Cross multiply
    4,496.64x = 6,711.36 × 3,834.24
  4. Step 4: Simplify right side
    4,496.64x = 25,732,964.97
  5. Step 5: Solve for x
    x = 25,732,964.97/4,496.64
  6. Step 6: Final answer
    x = 5,722.71

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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.