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Finding the Fourth Proportional to 3,847.32, 5,745.33 and 3,806.19

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Solution

The fourth proportional to 3,847.32, 5,745.33 and 3,806.19 is: 5,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.32 : 5,745.33 = 3,806.19 : x
  2. Step 2: Convert to fraction form
    3,847.32/5,745.33 = 3,806.19/x
  3. Step 3: Cross multiply
    3,847.32x = 5,745.33 × 3,806.19
  4. Step 4: Simplify right side
    3,847.32x = 21,867,817.59
  5. Step 5: Solve for x
    x = 21,867,817.59/3,847.32
  6. Step 6: Final answer
    x = 5,683.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.