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Finding the Fourth Proportional to 5,201.52, 7,178.07 and 2,843.68

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Solution

The fourth proportional to 5,201.52, 7,178.07 and 2,843.68 is: 3,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.52 : 7,178.07 = 2,843.68 : x
  2. Step 2: Convert to fraction form
    5,201.52/7,178.07 = 2,843.68/x
  3. Step 3: Cross multiply
    5,201.52x = 7,178.07 × 2,843.68
  4. Step 4: Simplify right side
    5,201.52x = 20,412,134.10
  5. Step 5: Solve for x
    x = 20,412,134.10/5,201.52
  6. Step 6: Final answer
    x = 3,924.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.