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Finding the Fourth Proportional to 3,838.54, 5,295.33 and 2,265.73

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Solution

The fourth proportional to 3,838.54, 5,295.33 and 2,265.73 is: 3,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.54 : 5,295.33 = 2,265.73 : x
  2. Step 2: Convert to fraction form
    3,838.54/5,295.33 = 2,265.73/x
  3. Step 3: Cross multiply
    3,838.54x = 5,295.33 × 2,265.73
  4. Step 4: Simplify right side
    3,838.54x = 11,997,788.04
  5. Step 5: Solve for x
    x = 11,997,788.04/3,838.54
  6. Step 6: Final answer
    x = 3,125.61

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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.