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Finding the Fourth Proportional to 3,380.36, 5,072.14 and 1,189.58

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Solution

The fourth proportional to 3,380.36, 5,072.14 and 1,189.58 is: 1,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.36 : 5,072.14 = 1,189.58 : x
  2. Step 2: Convert to fraction form
    3,380.36/5,072.14 = 1,189.58/x
  3. Step 3: Cross multiply
    3,380.36x = 5,072.14 × 1,189.58
  4. Step 4: Simplify right side
    3,380.36x = 6,033,716.30
  5. Step 5: Solve for x
    x = 6,033,716.30/3,380.36
  6. Step 6: Final answer
    x = 1,784.93

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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.