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Finding the Fourth Proportional to 5,194.85, 7,793.51 and 1,497.02

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Solution

The fourth proportional to 5,194.85, 7,793.51 and 1,497.02 is: 2,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.85 : 7,793.51 = 1,497.02 : x
  2. Step 2: Convert to fraction form
    5,194.85/7,793.51 = 1,497.02/x
  3. Step 3: Cross multiply
    5,194.85x = 7,793.51 × 1,497.02
  4. Step 4: Simplify right side
    5,194.85x = 11,666,993.89
  5. Step 5: Solve for x
    x = 11,666,993.89/5,194.85
  6. Step 6: Final answer
    x = 2,245.88

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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.