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Finding the Fourth Proportional to 5,786.86, 8,680.22 and 1,628.02

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Solution

The fourth proportional to 5,786.86, 8,680.22 and 1,628.02 is: 2,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.86 : 8,680.22 = 1,628.02 : x
  2. Step 2: Convert to fraction form
    5,786.86/8,680.22 = 1,628.02/x
  3. Step 3: Cross multiply
    5,786.86x = 8,680.22 × 1,628.02
  4. Step 4: Simplify right side
    5,786.86x = 14,131,571.76
  5. Step 5: Solve for x
    x = 14,131,571.76/5,786.86
  6. Step 6: Final answer
    x = 2,442.01

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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.