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Finding the Fourth Proportional to 3,556.42, 5,338.39 and 1,997.76

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Solution

The fourth proportional to 3,556.42, 5,338.39 and 1,997.76 is: 2,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.42 : 5,338.39 = 1,997.76 : x
  2. Step 2: Convert to fraction form
    3,556.42/5,338.39 = 1,997.76/x
  3. Step 3: Cross multiply
    3,556.42x = 5,338.39 × 1,997.76
  4. Step 4: Simplify right side
    3,556.42x = 10,664,822.01
  5. Step 5: Solve for x
    x = 10,664,822.01/3,556.42
  6. Step 6: Final answer
    x = 2,998.75

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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.