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Finding the Fourth Proportional to 5,563.44, 7,677.78 and 3,205.56

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Solution

The fourth proportional to 5,563.44, 7,677.78 and 3,205.56 is: 4,423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.44 : 7,677.78 = 3,205.56 : x
  2. Step 2: Convert to fraction form
    5,563.44/7,677.78 = 3,205.56/x
  3. Step 3: Cross multiply
    5,563.44x = 7,677.78 × 3,205.56
  4. Step 4: Simplify right side
    5,563.44x = 24,611,584.46
  5. Step 5: Solve for x
    x = 24,611,584.46/5,563.44
  6. Step 6: Final answer
    x = 4,423.81

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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.