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Finding the Fourth Proportional to 4,367.84, 6,022.83 and 3,803.27

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Solution

The fourth proportional to 4,367.84, 6,022.83 and 3,803.27 is: 5,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.84 : 6,022.83 = 3,803.27 : x
  2. Step 2: Convert to fraction form
    4,367.84/6,022.83 = 3,803.27/x
  3. Step 3: Cross multiply
    4,367.84x = 6,022.83 × 3,803.27
  4. Step 4: Simplify right side
    4,367.84x = 22,906,448.65
  5. Step 5: Solve for x
    x = 22,906,448.65/4,367.84
  6. Step 6: Final answer
    x = 5,244.34

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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.