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Finding the Fourth Proportional to 3,984.09, 5,976.32 and 1,211.16

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Solution

The fourth proportional to 3,984.09, 5,976.32 and 1,211.16 is: 1,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.09 : 5,976.32 = 1,211.16 : x
  2. Step 2: Convert to fraction form
    3,984.09/5,976.32 = 1,211.16/x
  3. Step 3: Cross multiply
    3,984.09x = 5,976.32 × 1,211.16
  4. Step 4: Simplify right side
    3,984.09x = 7,238,279.73
  5. Step 5: Solve for x
    x = 7,238,279.73/3,984.09
  6. Step 6: Final answer
    x = 1,816.80

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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.