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Finding the Fourth Proportional to 5,641.44, 8,455.68 and 2,863.68

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Solution

The fourth proportional to 5,641.44, 8,455.68 and 2,863.68 is: 4,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.44 : 8,455.68 = 2,863.68 : x
  2. Step 2: Convert to fraction form
    5,641.44/8,455.68 = 2,863.68/x
  3. Step 3: Cross multiply
    5,641.44x = 8,455.68 × 2,863.68
  4. Step 4: Simplify right side
    5,641.44x = 24,214,361.70
  5. Step 5: Solve for x
    x = 24,214,361.70/5,641.44
  6. Step 6: Final answer
    x = 4,292.23

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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.