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Finding the Fourth Proportional to 4,223.64, 5,819.94 and 3,228.96

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Solution

The fourth proportional to 4,223.64, 5,819.94 and 3,228.96 is: 4,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.64 : 5,819.94 = 3,228.96 : x
  2. Step 2: Convert to fraction form
    4,223.64/5,819.94 = 3,228.96/x
  3. Step 3: Cross multiply
    4,223.64x = 5,819.94 × 3,228.96
  4. Step 4: Simplify right side
    4,223.64x = 18,792,353.46
  5. Step 5: Solve for x
    x = 18,792,353.46/4,223.64
  6. Step 6: Final answer
    x = 4,449.33

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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.