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Finding the Fourth Proportional to 5,556.34, 7,666.10 and 3,198.42

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Solution

The fourth proportional to 5,556.34, 7,666.10 and 3,198.42 is: 4,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,556.34 : 7,666.10 = 3,198.42 : x
  2. Step 2: Convert to fraction form
    5,556.34/7,666.10 = 3,198.42/x
  3. Step 3: Cross multiply
    5,556.34x = 7,666.10 × 3,198.42
  4. Step 4: Simplify right side
    5,556.34x = 24,519,407.56
  5. Step 5: Solve for x
    x = 24,519,407.56/5,556.34
  6. Step 6: Final answer
    x = 4,412.87

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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.