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Finding the Fourth Proportional to 3,606, 4,974.54 and 2,112.99

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Solution

The fourth proportional to 3,606, 4,974.54 and 2,112.99 is: 2,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606 : 4,974.54 = 2,112.99 : x
  2. Step 2: Convert to fraction form
    3,606/4,974.54 = 2,112.99/x
  3. Step 3: Cross multiply
    3,606x = 4,974.54 × 2,112.99
  4. Step 4: Simplify right side
    3,606x = 10,511,153.27
  5. Step 5: Solve for x
    x = 10,511,153.27/3,606
  6. Step 6: Final answer
    x = 2,914.91

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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.