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Finding the Fourth Proportional to 5,563.56, 7,677.06 and 3,205.80

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Solution

The fourth proportional to 5,563.56, 7,677.06 and 3,205.80 is: 4,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.56 : 7,677.06 = 3,205.80 : x
  2. Step 2: Convert to fraction form
    5,563.56/7,677.06 = 3,205.80/x
  3. Step 3: Cross multiply
    5,563.56x = 7,677.06 × 3,205.80
  4. Step 4: Simplify right side
    5,563.56x = 24,611,118.95
  5. Step 5: Solve for x
    x = 24,611,118.95/5,563.56
  6. Step 6: Final answer
    x = 4,423.63

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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.