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Finding the Fourth Proportional to 5,195.97, 7,793.25 and 1,908.63

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Solution

The fourth proportional to 5,195.97, 7,793.25 and 1,908.63 is: 2,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.97 : 7,793.25 = 1,908.63 : x
  2. Step 2: Convert to fraction form
    5,195.97/7,793.25 = 1,908.63/x
  3. Step 3: Cross multiply
    5,195.97x = 7,793.25 × 1,908.63
  4. Step 4: Simplify right side
    5,195.97x = 14,874,430.75
  5. Step 5: Solve for x
    x = 14,874,430.75/5,195.97
  6. Step 6: Final answer
    x = 2,862.69

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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.