Home / 4,013.76-6,022.08-1,824

Finding the Fourth Proportional to 4,013.76, 6,022.08 and 1,824

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Solution

The fourth proportional to 4,013.76, 6,022.08 and 1,824 is: 2,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.76 : 6,022.08 = 1,824 : x
  2. Step 2: Convert to fraction form
    4,013.76/6,022.08 = 1,824/x
  3. Step 3: Cross multiply
    4,013.76x = 6,022.08 × 1,824
  4. Step 4: Simplify right side
    4,013.76x = 10,984,273.92
  5. Step 5: Solve for x
    x = 10,984,273.92/4,013.76
  6. Step 6: Final answer
    x = 2,736.65

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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.