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Finding the Fourth Proportional to 4,797.62, 7,186.85 and 3,812.11

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Solution

The fourth proportional to 4,797.62, 7,186.85 and 3,812.11 is: 5,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.62 : 7,186.85 = 3,812.11 : x
  2. Step 2: Convert to fraction form
    4,797.62/7,186.85 = 3,812.11/x
  3. Step 3: Cross multiply
    4,797.62x = 7,186.85 × 3,812.11
  4. Step 4: Simplify right side
    4,797.62x = 27,397,025.73
  5. Step 5: Solve for x
    x = 27,397,025.73/4,797.62
  6. Step 6: Final answer
    x = 5,710.54

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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.