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Finding the Fourth Proportional to 3,415.37, 5,123.73 and 1,194.42

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Solution

The fourth proportional to 3,415.37, 5,123.73 and 1,194.42 is: 1,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.37 : 5,123.73 = 1,194.42 : x
  2. Step 2: Convert to fraction form
    3,415.37/5,123.73 = 1,194.42/x
  3. Step 3: Cross multiply
    3,415.37x = 5,123.73 × 1,194.42
  4. Step 4: Simplify right side
    3,415.37x = 6,119,891.51
  5. Step 5: Solve for x
    x = 6,119,891.51/3,415.37
  6. Step 6: Final answer
    x = 1,791.87

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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.