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Finding the Fourth Proportional to 5,505.64, 8,245.76 and 3,309.54

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Solution

The fourth proportional to 5,505.64, 8,245.76 and 3,309.54 is: 4,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.64 : 8,245.76 = 3,309.54 : x
  2. Step 2: Convert to fraction form
    5,505.64/8,245.76 = 3,309.54/x
  3. Step 3: Cross multiply
    5,505.64x = 8,245.76 × 3,309.54
  4. Step 4: Simplify right side
    5,505.64x = 27,289,672.55
  5. Step 5: Solve for x
    x = 27,289,672.55/5,505.64
  6. Step 6: Final answer
    x = 4,956.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.