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Finding the Fourth Proportional to 3,908.96, 5,401.36 and 3,129.44

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Solution

The fourth proportional to 3,908.96, 5,401.36 and 3,129.44 is: 4,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.96 : 5,401.36 = 3,129.44 : x
  2. Step 2: Convert to fraction form
    3,908.96/5,401.36 = 3,129.44/x
  3. Step 3: Cross multiply
    3,908.96x = 5,401.36 × 3,129.44
  4. Step 4: Simplify right side
    3,908.96x = 16,903,232.04
  5. Step 5: Solve for x
    x = 16,903,232.04/3,908.96
  6. Step 6: Final answer
    x = 4,324.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.