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Finding the Fourth Proportional to 4,786.74, 7,182.90 and 2,013.22

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Solution

The fourth proportional to 4,786.74, 7,182.90 and 2,013.22 is: 3,021.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.74 : 7,182.90 = 2,013.22 : x
  2. Step 2: Convert to fraction form
    4,786.74/7,182.90 = 2,013.22/x
  3. Step 3: Cross multiply
    4,786.74x = 7,182.90 × 2,013.22
  4. Step 4: Simplify right side
    4,786.74x = 14,460,757.94
  5. Step 5: Solve for x
    x = 14,460,757.94/4,786.74
  6. Step 6: Final answer
    x = 3,021.00

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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.