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Finding the Fourth Proportional to 3,980.26, 5,970.39 and 1,383.20

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Solution

The fourth proportional to 3,980.26, 5,970.39 and 1,383.20 is: 2,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.26 : 5,970.39 = 1,383.20 : x
  2. Step 2: Convert to fraction form
    3,980.26/5,970.39 = 1,383.20/x
  3. Step 3: Cross multiply
    3,980.26x = 5,970.39 × 1,383.20
  4. Step 4: Simplify right side
    3,980.26x = 8,258,243.45
  5. Step 5: Solve for x
    x = 8,258,243.45/3,980.26
  6. Step 6: Final answer
    x = 2,074.80

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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.