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Finding the Fourth Proportional to 3,404, 5,106.30 and 939.02

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Solution

The fourth proportional to 3,404, 5,106.30 and 939.02 is: 1,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404 : 5,106.30 = 939.02 : x
  2. Step 2: Convert to fraction form
    3,404/5,106.30 = 939.02/x
  3. Step 3: Cross multiply
    3,404x = 5,106.30 × 939.02
  4. Step 4: Simplify right side
    3,404x = 4,794,917.83
  5. Step 5: Solve for x
    x = 4,794,917.83/3,404
  6. Step 6: Final answer
    x = 1,408.61

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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.