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Finding the Fourth Proportional to 3,205.55, 4,420.47 and 2,308.88

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Solution

The fourth proportional to 3,205.55, 4,420.47 and 2,308.88 is: 3,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.55 : 4,420.47 = 2,308.88 : x
  2. Step 2: Convert to fraction form
    3,205.55/4,420.47 = 2,308.88/x
  3. Step 3: Cross multiply
    3,205.55x = 4,420.47 × 2,308.88
  4. Step 4: Simplify right side
    3,205.55x = 10,206,342.05
  5. Step 5: Solve for x
    x = 10,206,342.05/3,205.55
  6. Step 6: Final answer
    x = 3,183.96

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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.