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Finding the Fourth Proportional to 5,839.49, 8,757.79 and 1,678.73

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Solution

The fourth proportional to 5,839.49, 8,757.79 and 1,678.73 is: 2,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.49 : 8,757.79 = 1,678.73 : x
  2. Step 2: Convert to fraction form
    5,839.49/8,757.79 = 1,678.73/x
  3. Step 3: Cross multiply
    5,839.49x = 8,757.79 × 1,678.73
  4. Step 4: Simplify right side
    5,839.49x = 14,701,916.82
  5. Step 5: Solve for x
    x = 14,701,916.82/5,839.49
  6. Step 6: Final answer
    x = 2,517.67

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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.