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Finding the Fourth Proportional to 5,224.39, 7,843.54 and 3,034.69

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Solution

The fourth proportional to 5,224.39, 7,843.54 and 3,034.69 is: 4,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.39 : 7,843.54 = 3,034.69 : x
  2. Step 2: Convert to fraction form
    5,224.39/7,843.54 = 3,034.69/x
  3. Step 3: Cross multiply
    5,224.39x = 7,843.54 × 3,034.69
  4. Step 4: Simplify right side
    5,224.39x = 23,802,685.21
  5. Step 5: Solve for x
    x = 23,802,685.21/5,224.39
  6. Step 6: Final answer
    x = 4,556.07

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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.