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Finding the Fourth Proportional to 5,679.80, 8,519.73 and 1,982.01

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Solution

The fourth proportional to 5,679.80, 8,519.73 and 1,982.01 is: 2,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.80 : 8,519.73 = 1,982.01 : x
  2. Step 2: Convert to fraction form
    5,679.80/8,519.73 = 1,982.01/x
  3. Step 3: Cross multiply
    5,679.80x = 8,519.73 × 1,982.01
  4. Step 4: Simplify right side
    5,679.80x = 16,886,190.06
  5. Step 5: Solve for x
    x = 16,886,190.06/5,679.80
  6. Step 6: Final answer
    x = 2,973.03

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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.