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Finding the Fourth Proportional to 3,883.44, 5,386.61 and 3,743.34

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Solution

The fourth proportional to 3,883.44, 5,386.61 and 3,743.34 is: 5,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.44 : 5,386.61 = 3,743.34 : x
  2. Step 2: Convert to fraction form
    3,883.44/5,386.61 = 3,743.34/x
  3. Step 3: Cross multiply
    3,883.44x = 5,386.61 × 3,743.34
  4. Step 4: Simplify right side
    3,883.44x = 20,163,898.56
  5. Step 5: Solve for x
    x = 20,163,898.56/3,883.44
  6. Step 6: Final answer
    x = 5,192.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.