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Finding the Fourth Proportional to 5,194.03, 7,791.05 and 1,298.43

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Solution

The fourth proportional to 5,194.03, 7,791.05 and 1,298.43 is: 1,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.03 : 7,791.05 = 1,298.43 : x
  2. Step 2: Convert to fraction form
    5,194.03/7,791.05 = 1,298.43/x
  3. Step 3: Cross multiply
    5,194.03x = 7,791.05 × 1,298.43
  4. Step 4: Simplify right side
    5,194.03x = 10,116,133.05
  5. Step 5: Solve for x
    x = 10,116,133.05/5,194.03
  6. Step 6: Final answer
    x = 1,947.65

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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.