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Finding the Fourth Proportional to 3,940.44, 5,908.84 and 2,297.48

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Solution

The fourth proportional to 3,940.44, 5,908.84 and 2,297.48 is: 3,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.44 : 5,908.84 = 2,297.48 : x
  2. Step 2: Convert to fraction form
    3,940.44/5,908.84 = 2,297.48/x
  3. Step 3: Cross multiply
    3,940.44x = 5,908.84 × 2,297.48
  4. Step 4: Simplify right side
    3,940.44x = 13,575,441.72
  5. Step 5: Solve for x
    x = 13,575,441.72/3,940.44
  6. Step 6: Final answer
    x = 3,445.16

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Why These Related Problems?

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