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Finding the Fourth Proportional to 4,938.50, 7,407.89 and 2,163.74

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Solution

The fourth proportional to 4,938.50, 7,407.89 and 2,163.74 is: 3,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.50 : 7,407.89 = 2,163.74 : x
  2. Step 2: Convert to fraction form
    4,938.50/7,407.89 = 2,163.74/x
  3. Step 3: Cross multiply
    4,938.50x = 7,407.89 × 2,163.74
  4. Step 4: Simplify right side
    4,938.50x = 16,028,700.05
  5. Step 5: Solve for x
    x = 16,028,700.05/4,938.50
  6. Step 6: Final answer
    x = 3,245.66

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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.