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Finding the Fourth Proportional to 3,309.50, 4,567.11 and 1,912.25

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Solution

The fourth proportional to 3,309.50, 4,567.11 and 1,912.25 is: 2,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.50 : 4,567.11 = 1,912.25 : x
  2. Step 2: Convert to fraction form
    3,309.50/4,567.11 = 1,912.25/x
  3. Step 3: Cross multiply
    3,309.50x = 4,567.11 × 1,912.25
  4. Step 4: Simplify right side
    3,309.50x = 8,733,456.10
  5. Step 5: Solve for x
    x = 8,733,456.10/3,309.50
  6. Step 6: Final answer
    x = 2,638.91

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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.