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Finding the Fourth Proportional to 3,404.61, 5,107.21 and 939.44

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Solution

The fourth proportional to 3,404.61, 5,107.21 and 939.44 is: 1,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.61 : 5,107.21 = 939.44 : x
  2. Step 2: Convert to fraction form
    3,404.61/5,107.21 = 939.44/x
  3. Step 3: Cross multiply
    3,404.61x = 5,107.21 × 939.44
  4. Step 4: Simplify right side
    3,404.61x = 4,797,917.36
  5. Step 5: Solve for x
    x = 4,797,917.36/3,404.61
  6. Step 6: Final answer
    x = 1,409.24

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1.5x scale

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.