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Finding the Fourth Proportional to 5,976.90, 8,959.68 and 2,080.26

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Solution

The fourth proportional to 5,976.90, 8,959.68 and 2,080.26 is: 3,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.90 : 8,959.68 = 2,080.26 : x
  2. Step 2: Convert to fraction form
    5,976.90/8,959.68 = 2,080.26/x
  3. Step 3: Cross multiply
    5,976.90x = 8,959.68 × 2,080.26
  4. Step 4: Simplify right side
    5,976.90x = 18,638,463.92
  5. Step 5: Solve for x
    x = 18,638,463.92/5,976.90
  6. Step 6: Final answer
    x = 3,118.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.