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Finding the Fourth Proportional to 4,494.78, 6,743.54 and 2,028.94

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Solution

The fourth proportional to 4,494.78, 6,743.54 and 2,028.94 is: 3,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.78 : 6,743.54 = 2,028.94 : x
  2. Step 2: Convert to fraction form
    4,494.78/6,743.54 = 2,028.94/x
  3. Step 3: Cross multiply
    4,494.78x = 6,743.54 × 2,028.94
  4. Step 4: Simplify right side
    4,494.78x = 13,682,238.05
  5. Step 5: Solve for x
    x = 13,682,238.05/4,494.78
  6. Step 6: Final answer
    x = 3,044.03

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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.