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Finding the Fourth Proportional to 5,194.98, 7,793.15 and 1,908.11

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Solution

The fourth proportional to 5,194.98, 7,793.15 and 1,908.11 is: 2,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.98 : 7,793.15 = 1,908.11 : x
  2. Step 2: Convert to fraction form
    5,194.98/7,793.15 = 1,908.11/x
  3. Step 3: Cross multiply
    5,194.98x = 7,793.15 × 1,908.11
  4. Step 4: Simplify right side
    5,194.98x = 14,870,187.45
  5. Step 5: Solve for x
    x = 14,870,187.45/5,194.98
  6. Step 6: Final answer
    x = 2,862.41

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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.