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Finding the Fourth Proportional to 4,797.54, 7,197.51 and 3,814.07

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Solution

The fourth proportional to 4,797.54, 7,197.51 and 3,814.07 is: 5,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.54 : 7,197.51 = 3,814.07 : x
  2. Step 2: Convert to fraction form
    4,797.54/7,197.51 = 3,814.07/x
  3. Step 3: Cross multiply
    4,797.54x = 7,197.51 × 3,814.07
  4. Step 4: Simplify right side
    4,797.54x = 27,451,770.98
  5. Step 5: Solve for x
    x = 27,451,770.98/4,797.54
  6. Step 6: Final answer
    x = 5,722.05

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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.