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Finding the Fourth Proportional to 3,462.80, 4,777.22 and 2,204.54

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Solution

The fourth proportional to 3,462.80, 4,777.22 and 2,204.54 is: 3,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.80 : 4,777.22 = 2,204.54 : x
  2. Step 2: Convert to fraction form
    3,462.80/4,777.22 = 2,204.54/x
  3. Step 3: Cross multiply
    3,462.80x = 4,777.22 × 2,204.54
  4. Step 4: Simplify right side
    3,462.80x = 10,531,561.56
  5. Step 5: Solve for x
    x = 10,531,561.56/3,462.80
  6. Step 6: Final answer
    x = 3,041.34

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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.