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Finding the Fourth Proportional to 3,984.39, 5,977.16 and 1,352.12

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Solution

The fourth proportional to 3,984.39, 5,977.16 and 1,352.12 is: 2,028.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.39 : 5,977.16 = 1,352.12 : x
  2. Step 2: Convert to fraction form
    3,984.39/5,977.16 = 1,352.12/x
  3. Step 3: Cross multiply
    3,984.39x = 5,977.16 × 1,352.12
  4. Step 4: Simplify right side
    3,984.39x = 8,081,837.58
  5. Step 5: Solve for x
    x = 8,081,837.58/3,984.39
  6. Step 6: Final answer
    x = 2,028.38

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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.