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Finding the Fourth Proportional to 5,194.98, 7,793.16 and 1,908.12

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Solution

The fourth proportional to 5,194.98, 7,793.16 and 1,908.12 is: 2,862.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.98 : 7,793.16 = 1,908.12 : x
  2. Step 2: Convert to fraction form
    5,194.98/7,793.16 = 1,908.12/x
  3. Step 3: Cross multiply
    5,194.98x = 7,793.16 × 1,908.12
  4. Step 4: Simplify right side
    5,194.98x = 14,870,284.46
  5. Step 5: Solve for x
    x = 14,870,284.46/5,194.98
  6. Step 6: Final answer
    x = 2,862.43

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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.