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Finding the Fourth Proportional to 3,272.34, 4,512.24 and 2,961.30

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Solution

The fourth proportional to 3,272.34, 4,512.24 and 2,961.30 is: 4,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.34 : 4,512.24 = 2,961.30 : x
  2. Step 2: Convert to fraction form
    3,272.34/4,512.24 = 2,961.30/x
  3. Step 3: Cross multiply
    3,272.34x = 4,512.24 × 2,961.30
  4. Step 4: Simplify right side
    3,272.34x = 13,362,096.31
  5. Step 5: Solve for x
    x = 13,362,096.31/3,272.34
  6. Step 6: Final answer
    x = 4,083.35

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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.