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Finding the Fourth Proportional to 3,309.54, 4,567.16 and 1,912.29

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Solution

The fourth proportional to 3,309.54, 4,567.16 and 1,912.29 is: 2,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.54 : 4,567.16 = 1,912.29 : x
  2. Step 2: Convert to fraction form
    3,309.54/4,567.16 = 1,912.29/x
  3. Step 3: Cross multiply
    3,309.54x = 4,567.16 × 1,912.29
  4. Step 4: Simplify right side
    3,309.54x = 8,733,734.40
  5. Step 5: Solve for x
    x = 8,733,734.40/3,309.54
  6. Step 6: Final answer
    x = 2,638.96

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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.