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Finding the Fourth Proportional to 5,809.50, 8,715.33 and 2,731.50

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Solution

The fourth proportional to 5,809.50, 8,715.33 and 2,731.50 is: 4,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.50 : 8,715.33 = 2,731.50 : x
  2. Step 2: Convert to fraction form
    5,809.50/8,715.33 = 2,731.50/x
  3. Step 3: Cross multiply
    5,809.50x = 8,715.33 × 2,731.50
  4. Step 4: Simplify right side
    5,809.50x = 23,805,923.90
  5. Step 5: Solve for x
    x = 23,805,923.90/5,809.50
  6. Step 6: Final answer
    x = 4,097.76

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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.