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Finding the Fourth Proportional to 3,382.85, 5,072.58 and 2,149.35

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Solution

The fourth proportional to 3,382.85, 5,072.58 and 2,149.35 is: 3,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.85 : 5,072.58 = 2,149.35 : x
  2. Step 2: Convert to fraction form
    3,382.85/5,072.58 = 2,149.35/x
  3. Step 3: Cross multiply
    3,382.85x = 5,072.58 × 2,149.35
  4. Step 4: Simplify right side
    3,382.85x = 10,902,749.82
  5. Step 5: Solve for x
    x = 10,902,749.82/3,382.85
  6. Step 6: Final answer
    x = 3,222.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.