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Finding the Fourth Proportional to 5,969.74, 8,951.53 and 2,680.01

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Solution

The fourth proportional to 5,969.74, 8,951.53 and 2,680.01 is: 4,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.74 : 8,951.53 = 2,680.01 : x
  2. Step 2: Convert to fraction form
    5,969.74/8,951.53 = 2,680.01/x
  3. Step 3: Cross multiply
    5,969.74x = 8,951.53 × 2,680.01
  4. Step 4: Simplify right side
    5,969.74x = 23,990,189.92
  5. Step 5: Solve for x
    x = 23,990,189.92/5,969.74
  6. Step 6: Final answer
    x = 4,018.63

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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.