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Finding the Fourth Proportional to 5,976.70, 8,966.04 and 2,080.06

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Solution

The fourth proportional to 5,976.70, 8,966.04 and 2,080.06 is: 3,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.70 : 8,966.04 = 2,080.06 : x
  2. Step 2: Convert to fraction form
    5,976.70/8,966.04 = 2,080.06/x
  3. Step 3: Cross multiply
    5,976.70x = 8,966.04 × 2,080.06
  4. Step 4: Simplify right side
    5,976.70x = 18,649,901.16
  5. Step 5: Solve for x
    x = 18,649,901.16/5,976.70
  6. Step 6: Final answer
    x = 3,120.43

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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.