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Finding the Fourth Proportional to 5,556.80, 8,327.92 and 2,266

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Solution

The fourth proportional to 5,556.80, 8,327.92 and 2,266 is: 3,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,556.80 : 8,327.92 = 2,266 : x
  2. Step 2: Convert to fraction form
    5,556.80/8,327.92 = 2,266/x
  3. Step 3: Cross multiply
    5,556.80x = 8,327.92 × 2,266
  4. Step 4: Simplify right side
    5,556.80x = 18,871,066.72
  5. Step 5: Solve for x
    x = 18,871,066.72/5,556.80
  6. Step 6: Final answer
    x = 3,396.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.