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Finding the Fourth Proportional to 5,195.91, 7,789.24 and 1,908.24

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Solution

The fourth proportional to 5,195.91, 7,789.24 and 1,908.24 is: 2,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.91 : 7,789.24 = 1,908.24 : x
  2. Step 2: Convert to fraction form
    5,195.91/7,789.24 = 1,908.24/x
  3. Step 3: Cross multiply
    5,195.91x = 7,789.24 × 1,908.24
  4. Step 4: Simplify right side
    5,195.91x = 14,863,739.34
  5. Step 5: Solve for x
    x = 14,863,739.34/5,195.91
  6. Step 6: Final answer
    x = 2,860.66

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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.