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Finding the Fourth Proportional to 5,194.86, 7,793.58 and 1,497.08

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Solution

The fourth proportional to 5,194.86, 7,793.58 and 1,497.08 is: 2,245.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.86 : 7,793.58 = 1,497.08 : x
  2. Step 2: Convert to fraction form
    5,194.86/7,793.58 = 1,497.08/x
  3. Step 3: Cross multiply
    5,194.86x = 7,793.58 × 1,497.08
  4. Step 4: Simplify right side
    5,194.86x = 11,667,612.75
  5. Step 5: Solve for x
    x = 11,667,612.75/5,194.86
  6. Step 6: Final answer
    x = 2,245.99

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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.