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Finding the Fourth Proportional to 5,284.50, 7,926.87 and 1,999.14

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Solution

The fourth proportional to 5,284.50, 7,926.87 and 1,999.14 is: 2,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.50 : 7,926.87 = 1,999.14 : x
  2. Step 2: Convert to fraction form
    5,284.50/7,926.87 = 1,999.14/x
  3. Step 3: Cross multiply
    5,284.50x = 7,926.87 × 1,999.14
  4. Step 4: Simplify right side
    5,284.50x = 15,846,922.89
  5. Step 5: Solve for x
    x = 15,846,922.89/5,284.50
  6. Step 6: Final answer
    x = 2,998.76

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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.