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Finding the Fourth Proportional to 3,409.50, 4,704.96 and 1,993.21

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Solution

The fourth proportional to 3,409.50, 4,704.96 and 1,993.21 is: 2,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.50 : 4,704.96 = 1,993.21 : x
  2. Step 2: Convert to fraction form
    3,409.50/4,704.96 = 1,993.21/x
  3. Step 3: Cross multiply
    3,409.50x = 4,704.96 × 1,993.21
  4. Step 4: Simplify right side
    3,409.50x = 9,377,973.32
  5. Step 5: Solve for x
    x = 9,377,973.32/3,409.50
  6. Step 6: Final answer
    x = 2,750.54

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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.