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Finding the Fourth Proportional to 5,563.56, 7,679.42 and 3,207.27

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Solution

The fourth proportional to 5,563.56, 7,679.42 and 3,207.27 is: 4,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.56 : 7,679.42 = 3,207.27 : x
  2. Step 2: Convert to fraction form
    5,563.56/7,679.42 = 3,207.27/x
  3. Step 3: Cross multiply
    5,563.56x = 7,679.42 × 3,207.27
  4. Step 4: Simplify right side
    5,563.56x = 24,629,973.38
  5. Step 5: Solve for x
    x = 24,629,973.38/5,563.56
  6. Step 6: Final answer
    x = 4,427.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.