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Finding the Fourth Proportional to 5,976.63, 8,959.82 and 2,080.53

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Solution

The fourth proportional to 5,976.63, 8,959.82 and 2,080.53 is: 3,119.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.63 : 8,959.82 = 2,080.53 : x
  2. Step 2: Convert to fraction form
    5,976.63/8,959.82 = 2,080.53/x
  3. Step 3: Cross multiply
    5,976.63x = 8,959.82 × 2,080.53
  4. Step 4: Simplify right side
    5,976.63x = 18,641,163.90
  5. Step 5: Solve for x
    x = 18,641,163.90/5,976.63
  6. Step 6: Final answer
    x = 3,119.01

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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.