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Finding the Fourth Proportional to 5,977.68, 8,969.04 and 2,079.96

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Solution

The fourth proportional to 5,977.68, 8,969.04 and 2,079.96 is: 3,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.68 : 8,969.04 = 2,079.96 : x
  2. Step 2: Convert to fraction form
    5,977.68/8,969.04 = 2,079.96/x
  3. Step 3: Cross multiply
    5,977.68x = 8,969.04 × 2,079.96
  4. Step 4: Simplify right side
    5,977.68x = 18,655,244.44
  5. Step 5: Solve for x
    x = 18,655,244.44/5,977.68
  6. Step 6: Final answer
    x = 3,120.82

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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.