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Finding the Fourth Proportional to 3,813.90, 5,721.93 and 2,255.28

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Solution

The fourth proportional to 3,813.90, 5,721.93 and 2,255.28 is: 3,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.90 : 5,721.93 = 2,255.28 : x
  2. Step 2: Convert to fraction form
    3,813.90/5,721.93 = 2,255.28/x
  3. Step 3: Cross multiply
    3,813.90x = 5,721.93 × 2,255.28
  4. Step 4: Simplify right side
    3,813.90x = 12,904,554.29
  5. Step 5: Solve for x
    x = 12,904,554.29/3,813.90
  6. Step 6: Final answer
    x = 3,383.56

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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.