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Finding the Fourth Proportional to 3,237.96, 4,467.34 and 1,912.12

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Solution

The fourth proportional to 3,237.96, 4,467.34 and 1,912.12 is: 2,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.96 : 4,467.34 = 1,912.12 : x
  2. Step 2: Convert to fraction form
    3,237.96/4,467.34 = 1,912.12/x
  3. Step 3: Cross multiply
    3,237.96x = 4,467.34 × 1,912.12
  4. Step 4: Simplify right side
    3,237.96x = 8,542,090.16
  5. Step 5: Solve for x
    x = 8,542,090.16/3,237.96
  6. Step 6: Final answer
    x = 2,638.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.