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Finding the Fourth Proportional to 4,634.38, 6,401.06 and 3,373.44

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Solution

The fourth proportional to 4,634.38, 6,401.06 and 3,373.44 is: 4,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.38 : 6,401.06 = 3,373.44 : x
  2. Step 2: Convert to fraction form
    4,634.38/6,401.06 = 3,373.44/x
  3. Step 3: Cross multiply
    4,634.38x = 6,401.06 × 3,373.44
  4. Step 4: Simplify right side
    4,634.38x = 21,593,591.85
  5. Step 5: Solve for x
    x = 21,593,591.85/4,634.38
  6. Step 6: Final answer
    x = 4,659.43

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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.