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Finding the Fourth Proportional to 5,678.27, 7,834.18 and 3,439.43

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Solution

The fourth proportional to 5,678.27, 7,834.18 and 3,439.43 is: 4,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.27 : 7,834.18 = 3,439.43 : x
  2. Step 2: Convert to fraction form
    5,678.27/7,834.18 = 3,439.43/x
  3. Step 3: Cross multiply
    5,678.27x = 7,834.18 × 3,439.43
  4. Step 4: Simplify right side
    5,678.27x = 26,945,074.55
  5. Step 5: Solve for x
    x = 26,945,074.55/5,678.27
  6. Step 6: Final answer
    x = 4,745.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.