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Finding the Fourth Proportional to 3,404.68, 5,107.07 and 939.48

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Solution

The fourth proportional to 3,404.68, 5,107.07 and 939.48 is: 1,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.68 : 5,107.07 = 939.48 : x
  2. Step 2: Convert to fraction form
    3,404.68/5,107.07 = 939.48/x
  3. Step 3: Cross multiply
    3,404.68x = 5,107.07 × 939.48
  4. Step 4: Simplify right side
    3,404.68x = 4,797,990.12
  5. Step 5: Solve for x
    x = 4,797,990.12/3,404.68
  6. Step 6: Final answer
    x = 1,409.23

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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.