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Finding the Fourth Proportional to 3,980.64, 5,493.20 and 2,489.20

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Solution

The fourth proportional to 3,980.64, 5,493.20 and 2,489.20 is: 3,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.64 : 5,493.20 = 2,489.20 : x
  2. Step 2: Convert to fraction form
    3,980.64/5,493.20 = 2,489.20/x
  3. Step 3: Cross multiply
    3,980.64x = 5,493.20 × 2,489.20
  4. Step 4: Simplify right side
    3,980.64x = 13,673,673.44
  5. Step 5: Solve for x
    x = 13,673,673.44/3,980.64
  6. Step 6: Final answer
    x = 3,435.04

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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.