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Finding the Fourth Proportional to 3,940.32, 5,908.52 and 2,297.28

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Solution

The fourth proportional to 3,940.32, 5,908.52 and 2,297.28 is: 3,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.32 : 5,908.52 = 2,297.28 : x
  2. Step 2: Convert to fraction form
    3,940.32/5,908.52 = 2,297.28/x
  3. Step 3: Cross multiply
    3,940.32x = 5,908.52 × 2,297.28
  4. Step 4: Simplify right side
    3,940.32x = 13,573,524.83
  5. Step 5: Solve for x
    x = 13,573,524.83/3,940.32
  6. Step 6: Final answer
    x = 3,444.78

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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.