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Finding the Fourth Proportional to 3,691.54, 5,091.44 and 2,365.37

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Solution

The fourth proportional to 3,691.54, 5,091.44 and 2,365.37 is: 3,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.54 : 5,091.44 = 2,365.37 : x
  2. Step 2: Convert to fraction form
    3,691.54/5,091.44 = 2,365.37/x
  3. Step 3: Cross multiply
    3,691.54x = 5,091.44 × 2,365.37
  4. Step 4: Simplify right side
    3,691.54x = 12,043,113.98
  5. Step 5: Solve for x
    x = 12,043,113.98/3,691.54
  6. Step 6: Final answer
    x = 3,262.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.