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Finding the Fourth Proportional to 3,878.62, 5,814.57 and 1,568.62

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Solution

The fourth proportional to 3,878.62, 5,814.57 and 1,568.62 is: 2,351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.62 : 5,814.57 = 1,568.62 : x
  2. Step 2: Convert to fraction form
    3,878.62/5,814.57 = 1,568.62/x
  3. Step 3: Cross multiply
    3,878.62x = 5,814.57 × 1,568.62
  4. Step 4: Simplify right side
    3,878.62x = 9,120,850.79
  5. Step 5: Solve for x
    x = 9,120,850.79/3,878.62
  6. Step 6: Final answer
    x = 2,351.57

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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.