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Finding the Fourth Proportional to 4,268.62, 5,890.60 and 2,380.20

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Solution

The fourth proportional to 4,268.62, 5,890.60 and 2,380.20 is: 3,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.62 : 5,890.60 = 2,380.20 : x
  2. Step 2: Convert to fraction form
    4,268.62/5,890.60 = 2,380.20/x
  3. Step 3: Cross multiply
    4,268.62x = 5,890.60 × 2,380.20
  4. Step 4: Simplify right side
    4,268.62x = 14,020,806.12
  5. Step 5: Solve for x
    x = 14,020,806.12/4,268.62
  6. Step 6: Final answer
    x = 3,284.62

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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.