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Finding the Fourth Proportional to 5,194.89, 7,793.37 and 1,908.02

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Solution

The fourth proportional to 5,194.89, 7,793.37 and 1,908.02 is: 2,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.89 : 7,793.37 = 1,908.02 : x
  2. Step 2: Convert to fraction form
    5,194.89/7,793.37 = 1,908.02/x
  3. Step 3: Cross multiply
    5,194.89x = 7,793.37 × 1,908.02
  4. Step 4: Simplify right side
    5,194.89x = 14,869,866.86
  5. Step 5: Solve for x
    x = 14,869,866.86/5,194.89
  6. Step 6: Final answer
    x = 2,862.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.