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Finding the Fourth Proportional to 4,224.24, 5,829.82 and 2,805.41

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Solution

The fourth proportional to 4,224.24, 5,829.82 and 2,805.41 is: 3,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.24 : 5,829.82 = 2,805.41 : x
  2. Step 2: Convert to fraction form
    4,224.24/5,829.82 = 2,805.41/x
  3. Step 3: Cross multiply
    4,224.24x = 5,829.82 × 2,805.41
  4. Step 4: Simplify right side
    4,224.24x = 16,355,042.89
  5. Step 5: Solve for x
    x = 16,355,042.89/4,224.24
  6. Step 6: Final answer
    x = 3,871.71

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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.