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Finding the Fourth Proportional to 3,382.39, 5,074.37 and 1,191.14

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Solution

The fourth proportional to 3,382.39, 5,074.37 and 1,191.14 is: 1,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.39 : 5,074.37 = 1,191.14 : x
  2. Step 2: Convert to fraction form
    3,382.39/5,074.37 = 1,191.14/x
  3. Step 3: Cross multiply
    3,382.39x = 5,074.37 × 1,191.14
  4. Step 4: Simplify right side
    3,382.39x = 6,044,277.25
  5. Step 5: Solve for x
    x = 6,044,277.25/3,382.39
  6. Step 6: Final answer
    x = 1,786.98

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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.