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Finding the Fourth Proportional to 4,224.82, 5,828.82 and 2,734.62

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Solution

The fourth proportional to 4,224.82, 5,828.82 and 2,734.62 is: 3,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.82 : 5,828.82 = 2,734.62 : x
  2. Step 2: Convert to fraction form
    4,224.82/5,828.82 = 2,734.62/x
  3. Step 3: Cross multiply
    4,224.82x = 5,828.82 × 2,734.62
  4. Step 4: Simplify right side
    4,224.82x = 15,939,607.75
  5. Step 5: Solve for x
    x = 15,939,607.75/4,224.82
  6. Step 6: Final answer
    x = 3,772.85

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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.