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Finding the Fourth Proportional to 4,273.67, 6,408.98 and 1,641.37

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Solution

The fourth proportional to 4,273.67, 6,408.98 and 1,641.37 is: 2,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.67 : 6,408.98 = 1,641.37 : x
  2. Step 2: Convert to fraction form
    4,273.67/6,408.98 = 1,641.37/x
  3. Step 3: Cross multiply
    4,273.67x = 6,408.98 × 1,641.37
  4. Step 4: Simplify right side
    4,273.67x = 10,519,487.38
  5. Step 5: Solve for x
    x = 10,519,487.38/4,273.67
  6. Step 6: Final answer
    x = 2,461.47

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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.