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Finding the Fourth Proportional to 3,980.50, 5,974.39 and 2,034.07

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Solution

The fourth proportional to 3,980.50, 5,974.39 and 2,034.07 is: 3,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.50 : 5,974.39 = 2,034.07 : x
  2. Step 2: Convert to fraction form
    3,980.50/5,974.39 = 2,034.07/x
  3. Step 3: Cross multiply
    3,980.50x = 5,974.39 × 2,034.07
  4. Step 4: Simplify right side
    3,980.50x = 12,152,327.47
  5. Step 5: Solve for x
    x = 12,152,327.47/3,980.50
  6. Step 6: Final answer
    x = 3,052.97

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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.