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Finding the Fourth Proportional to 3,239.48, 4,851.24 and 1,849.38

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Solution

The fourth proportional to 3,239.48, 4,851.24 and 1,849.38 is: 2,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.48 : 4,851.24 = 1,849.38 : x
  2. Step 2: Convert to fraction form
    3,239.48/4,851.24 = 1,849.38/x
  3. Step 3: Cross multiply
    3,239.48x = 4,851.24 × 1,849.38
  4. Step 4: Simplify right side
    3,239.48x = 8,971,786.23
  5. Step 5: Solve for x
    x = 8,971,786.23/3,239.48
  6. Step 6: Final answer
    x = 2,769.51

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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.