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Finding the Fourth Proportional to 3,980.58, 5,969.97 and 1,206.60

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Solution

The fourth proportional to 3,980.58, 5,969.97 and 1,206.60 is: 1,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.58 : 5,969.97 = 1,206.60 : x
  2. Step 2: Convert to fraction form
    3,980.58/5,969.97 = 1,206.60/x
  3. Step 3: Cross multiply
    3,980.58x = 5,969.97 × 1,206.60
  4. Step 4: Simplify right side
    3,980.58x = 7,203,365.80
  5. Step 5: Solve for x
    x = 7,203,365.80/3,980.58
  6. Step 6: Final answer
    x = 1,809.63

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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.