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Finding the Fourth Proportional to 5,942.67, 8,914.23 and 2,655.78

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Solution

The fourth proportional to 5,942.67, 8,914.23 and 2,655.78 is: 3,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.67 : 8,914.23 = 2,655.78 : x
  2. Step 2: Convert to fraction form
    5,942.67/8,914.23 = 2,655.78/x
  3. Step 3: Cross multiply
    5,942.67x = 8,914.23 × 2,655.78
  4. Step 4: Simplify right side
    5,942.67x = 23,674,233.75
  5. Step 5: Solve for x
    x = 23,674,233.75/5,942.67
  6. Step 6: Final answer
    x = 3,983.77

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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.