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Finding the Fourth Proportional to 3,005.96, 4,149.78 and 2,072.84

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Solution

The fourth proportional to 3,005.96, 4,149.78 and 2,072.84 is: 2,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.96 : 4,149.78 = 2,072.84 : x
  2. Step 2: Convert to fraction form
    3,005.96/4,149.78 = 2,072.84/x
  3. Step 3: Cross multiply
    3,005.96x = 4,149.78 × 2,072.84
  4. Step 4: Simplify right side
    3,005.96x = 8,601,829.98
  5. Step 5: Solve for x
    x = 8,601,829.98/3,005.96
  6. Step 6: Final answer
    x = 2,861.59

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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.