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Finding the Fourth Proportional to 3,796.86, 5,688.45 and 3,568.14

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Solution

The fourth proportional to 3,796.86, 5,688.45 and 3,568.14 is: 5,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.86 : 5,688.45 = 3,568.14 : x
  2. Step 2: Convert to fraction form
    3,796.86/5,688.45 = 3,568.14/x
  3. Step 3: Cross multiply
    3,796.86x = 5,688.45 × 3,568.14
  4. Step 4: Simplify right side
    3,796.86x = 20,297,185.98
  5. Step 5: Solve for x
    x = 20,297,185.98/3,796.86
  6. Step 6: Final answer
    x = 5,345.78

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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.