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Finding the Fourth Proportional to 4,786.83, 7,183.05 and 2,013.27

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Solution

The fourth proportional to 4,786.83, 7,183.05 and 2,013.27 is: 3,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.83 : 7,183.05 = 2,013.27 : x
  2. Step 2: Convert to fraction form
    4,786.83/7,183.05 = 2,013.27/x
  3. Step 3: Cross multiply
    4,786.83x = 7,183.05 × 2,013.27
  4. Step 4: Simplify right side
    4,786.83x = 14,461,419.07
  5. Step 5: Solve for x
    x = 14,461,419.07/4,786.83
  6. Step 6: Final answer
    x = 3,021.08

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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.