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Finding the Fourth Proportional to 3,481.07, 5,223.14 and 1,289.33

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Solution

The fourth proportional to 3,481.07, 5,223.14 and 1,289.33 is: 1,934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.07 : 5,223.14 = 1,289.33 : x
  2. Step 2: Convert to fraction form
    3,481.07/5,223.14 = 1,289.33/x
  3. Step 3: Cross multiply
    3,481.07x = 5,223.14 × 1,289.33
  4. Step 4: Simplify right side
    3,481.07x = 6,734,344.65
  5. Step 5: Solve for x
    x = 6,734,344.65/3,481.07
  6. Step 6: Final answer
    x = 1,934.56

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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.