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Finding the Fourth Proportional to 5,277.72, 7,919.24 and 1,990.83

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Solution

The fourth proportional to 5,277.72, 7,919.24 and 1,990.83 is: 2,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.72 : 7,919.24 = 1,990.83 : x
  2. Step 2: Convert to fraction form
    5,277.72/7,919.24 = 1,990.83/x
  3. Step 3: Cross multiply
    5,277.72x = 7,919.24 × 1,990.83
  4. Step 4: Simplify right side
    5,277.72x = 15,765,850.62
  5. Step 5: Solve for x
    x = 15,765,850.62/5,277.72
  6. Step 6: Final answer
    x = 2,987.25

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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.