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Finding the Fourth Proportional to 3,984.48, 5,974.92 and 1,211.49

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Solution

The fourth proportional to 3,984.48, 5,974.92 and 1,211.49 is: 1,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.48 : 5,974.92 = 1,211.49 : x
  2. Step 2: Convert to fraction form
    3,984.48/5,974.92 = 1,211.49/x
  3. Step 3: Cross multiply
    3,984.48x = 5,974.92 × 1,211.49
  4. Step 4: Simplify right side
    3,984.48x = 7,238,555.83
  5. Step 5: Solve for x
    x = 7,238,555.83/3,984.48
  6. Step 6: Final answer
    x = 1,816.69

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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.