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Finding the Fourth Proportional to 5,977.72, 8,964.42 and 2,028.34

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Solution

The fourth proportional to 5,977.72, 8,964.42 and 2,028.34 is: 3,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.72 : 8,964.42 = 2,028.34 : x
  2. Step 2: Convert to fraction form
    5,977.72/8,964.42 = 2,028.34/x
  3. Step 3: Cross multiply
    5,977.72x = 8,964.42 × 2,028.34
  4. Step 4: Simplify right side
    5,977.72x = 18,182,891.66
  5. Step 5: Solve for x
    x = 18,182,891.66/5,977.72
  6. Step 6: Final answer
    x = 3,041.78

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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.