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Finding the Fourth Proportional to 4,189.38, 6,285.53 and 2,627.54

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Solution

The fourth proportional to 4,189.38, 6,285.53 and 2,627.54 is: 3,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.38 : 6,285.53 = 2,627.54 : x
  2. Step 2: Convert to fraction form
    4,189.38/6,285.53 = 2,627.54/x
  3. Step 3: Cross multiply
    4,189.38x = 6,285.53 × 2,627.54
  4. Step 4: Simplify right side
    4,189.38x = 16,515,462.53
  5. Step 5: Solve for x
    x = 16,515,462.53/4,189.38
  6. Step 6: Final answer
    x = 3,942.22

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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.