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Finding the Fourth Proportional to 5,563.72, 7,679.85 and 3,206.80

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Solution

The fourth proportional to 5,563.72, 7,679.85 and 3,206.80 is: 4,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.72 : 7,679.85 = 3,206.80 : x
  2. Step 2: Convert to fraction form
    5,563.72/7,679.85 = 3,206.80/x
  3. Step 3: Cross multiply
    5,563.72x = 7,679.85 × 3,206.80
  4. Step 4: Simplify right side
    5,563.72x = 24,627,742.98
  5. Step 5: Solve for x
    x = 24,627,742.98/5,563.72
  6. Step 6: Final answer
    x = 4,426.49

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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.