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Finding the Fourth Proportional to 3,936.72, 5,906.64 and 2,294

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Solution

The fourth proportional to 3,936.72, 5,906.64 and 2,294 is: 3,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.72 : 5,906.64 = 2,294 : x
  2. Step 2: Convert to fraction form
    3,936.72/5,906.64 = 2,294/x
  3. Step 3: Cross multiply
    3,936.72x = 5,906.64 × 2,294
  4. Step 4: Simplify right side
    3,936.72x = 13,549,832.16
  5. Step 5: Solve for x
    x = 13,549,832.16/3,936.72
  6. Step 6: Final answer
    x = 3,441.91

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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.