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Finding the Fourth Proportional to 3,838.28, 5,293.56 and 3,092

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Solution

The fourth proportional to 3,838.28, 5,293.56 and 3,092 is: 4,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.28 : 5,293.56 = 3,092 : x
  2. Step 2: Convert to fraction form
    3,838.28/5,293.56 = 3,092/x
  3. Step 3: Cross multiply
    3,838.28x = 5,293.56 × 3,092
  4. Step 4: Simplify right side
    3,838.28x = 16,367,687.52
  5. Step 5: Solve for x
    x = 16,367,687.52/3,838.28
  6. Step 6: Final answer
    x = 4,264.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.