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Finding the Fourth Proportional to 3,052.50, 4,213.26 and 2,005.98

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Solution

The fourth proportional to 3,052.50, 4,213.26 and 2,005.98 is: 2,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.50 : 4,213.26 = 2,005.98 : x
  2. Step 2: Convert to fraction form
    3,052.50/4,213.26 = 2,005.98/x
  3. Step 3: Cross multiply
    3,052.50x = 4,213.26 × 2,005.98
  4. Step 4: Simplify right side
    3,052.50x = 8,451,715.29
  5. Step 5: Solve for x
    x = 8,451,715.29/3,052.50
  6. Step 6: Final answer
    x = 2,768.78

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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.