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Finding the Fourth Proportional to 5,286.15, 7,926.16 and 1,999.50

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Solution

The fourth proportional to 5,286.15, 7,926.16 and 1,999.50 is: 2,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.15 : 7,926.16 = 1,999.50 : x
  2. Step 2: Convert to fraction form
    5,286.15/7,926.16 = 1,999.50/x
  3. Step 3: Cross multiply
    5,286.15x = 7,926.16 × 1,999.50
  4. Step 4: Simplify right side
    5,286.15x = 15,848,376.05
  5. Step 5: Solve for x
    x = 15,848,376.05/5,286.15
  6. Step 6: Final answer
    x = 2,998.09

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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.