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Finding the Fourth Proportional to 5,982.80, 8,971.80 and 2,519.12

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Solution

The fourth proportional to 5,982.80, 8,971.80 and 2,519.12 is: 3,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.80 : 8,971.80 = 2,519.12 : x
  2. Step 2: Convert to fraction form
    5,982.80/8,971.80 = 2,519.12/x
  3. Step 3: Cross multiply
    5,982.80x = 8,971.80 × 2,519.12
  4. Step 4: Simplify right side
    5,982.80x = 22,601,040.82
  5. Step 5: Solve for x
    x = 22,601,040.82/5,982.80
  6. Step 6: Final answer
    x = 3,777.67

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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.