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Finding the Fourth Proportional to 4,892.39, 7,338.62 and 1,194.60

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Solution

The fourth proportional to 4,892.39, 7,338.62 and 1,194.60 is: 1,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.39 : 7,338.62 = 1,194.60 : x
  2. Step 2: Convert to fraction form
    4,892.39/7,338.62 = 1,194.60/x
  3. Step 3: Cross multiply
    4,892.39x = 7,338.62 × 1,194.60
  4. Step 4: Simplify right side
    4,892.39x = 8,766,715.45
  5. Step 5: Solve for x
    x = 8,766,715.45/4,892.39
  6. Step 6: Final answer
    x = 1,791.91

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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.