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Finding the Fourth Proportional to 5,558.55, 7,667.64 and 3,200.24

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Solution

The fourth proportional to 5,558.55, 7,667.64 and 3,200.24 is: 4,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,558.55 : 7,667.64 = 3,200.24 : x
  2. Step 2: Convert to fraction form
    5,558.55/7,667.64 = 3,200.24/x
  3. Step 3: Cross multiply
    5,558.55x = 7,667.64 × 3,200.24
  4. Step 4: Simplify right side
    5,558.55x = 24,538,249.90
  5. Step 5: Solve for x
    x = 24,538,249.90/5,558.55
  6. Step 6: Final answer
    x = 4,414.51

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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.