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Finding the Fourth Proportional to 5,846.65, 8,769.84 and 2,723.29

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Solution

The fourth proportional to 5,846.65, 8,769.84 and 2,723.29 is: 4,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.65 : 8,769.84 = 2,723.29 : x
  2. Step 2: Convert to fraction form
    5,846.65/8,769.84 = 2,723.29/x
  3. Step 3: Cross multiply
    5,846.65x = 8,769.84 × 2,723.29
  4. Step 4: Simplify right side
    5,846.65x = 23,882,817.57
  5. Step 5: Solve for x
    x = 23,882,817.57/5,846.65
  6. Step 6: Final answer
    x = 4,084.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.