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Finding the Fourth Proportional to 4,207.52, 6,313.92 and 2,906.56

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Solution

The fourth proportional to 4,207.52, 6,313.92 and 2,906.56 is: 4,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.52 : 6,313.92 = 2,906.56 : x
  2. Step 2: Convert to fraction form
    4,207.52/6,313.92 = 2,906.56/x
  3. Step 3: Cross multiply
    4,207.52x = 6,313.92 × 2,906.56
  4. Step 4: Simplify right side
    4,207.52x = 18,351,787.32
  5. Step 5: Solve for x
    x = 18,351,787.32/4,207.52
  6. Step 6: Final answer
    x = 4,361.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.