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Finding the Fourth Proportional to 5,493.63, 8,238.42 and 3,849.33

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Solution

The fourth proportional to 5,493.63, 8,238.42 and 3,849.33 is: 5,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.63 : 8,238.42 = 3,849.33 : x
  2. Step 2: Convert to fraction form
    5,493.63/8,238.42 = 3,849.33/x
  3. Step 3: Cross multiply
    5,493.63x = 8,238.42 × 3,849.33
  4. Step 4: Simplify right side
    5,493.63x = 31,712,397.26
  5. Step 5: Solve for x
    x = 31,712,397.26/5,493.63
  6. Step 6: Final answer
    x = 5,772.58

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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.