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Finding the Fourth Proportional to 5,221.62, 7,832.07 and 1,934.46

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Solution

The fourth proportional to 5,221.62, 7,832.07 and 1,934.46 is: 2,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.62 : 7,832.07 = 1,934.46 : x
  2. Step 2: Convert to fraction form
    5,221.62/7,832.07 = 1,934.46/x
  3. Step 3: Cross multiply
    5,221.62x = 7,832.07 × 1,934.46
  4. Step 4: Simplify right side
    5,221.62x = 15,150,826.13
  5. Step 5: Solve for x
    x = 15,150,826.13/5,221.62
  6. Step 6: Final answer
    x = 2,901.56

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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.