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Finding the Fourth Proportional to 5,194.37, 7,793 and 2,999.09

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Solution

The fourth proportional to 5,194.37, 7,793 and 2,999.09 is: 4,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.37 : 7,793 = 2,999.09 : x
  2. Step 2: Convert to fraction form
    5,194.37/7,793 = 2,999.09/x
  3. Step 3: Cross multiply
    5,194.37x = 7,793 × 2,999.09
  4. Step 4: Simplify right side
    5,194.37x = 23,371,908.37
  5. Step 5: Solve for x
    x = 23,371,908.37/5,194.37
  6. Step 6: Final answer
    x = 4,499.47

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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.