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Finding the Fourth Proportional to 3,922.37, 5,401.03 and 3,390.31

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Solution

The fourth proportional to 3,922.37, 5,401.03 and 3,390.31 is: 4,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.37 : 5,401.03 = 3,390.31 : x
  2. Step 2: Convert to fraction form
    3,922.37/5,401.03 = 3,390.31/x
  3. Step 3: Cross multiply
    3,922.37x = 5,401.03 × 3,390.31
  4. Step 4: Simplify right side
    3,922.37x = 18,311,140.27
  5. Step 5: Solve for x
    x = 18,311,140.27/3,922.37
  6. Step 6: Final answer
    x = 4,668.38

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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.