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Finding the Fourth Proportional to 3,828.98, 5,743.47 and 1,092.98

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Solution

The fourth proportional to 3,828.98, 5,743.47 and 1,092.98 is: 1,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.98 : 5,743.47 = 1,092.98 : x
  2. Step 2: Convert to fraction form
    3,828.98/5,743.47 = 1,092.98/x
  3. Step 3: Cross multiply
    3,828.98x = 5,743.47 × 1,092.98
  4. Step 4: Simplify right side
    3,828.98x = 6,277,497.84
  5. Step 5: Solve for x
    x = 6,277,497.84/3,828.98
  6. Step 6: Final answer
    x = 1,639.47

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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.