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Finding the Fourth Proportional to 5,489.36, 7,575.24 and 3,131.44

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Solution

The fourth proportional to 5,489.36, 7,575.24 and 3,131.44 is: 4,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.36 : 7,575.24 = 3,131.44 : x
  2. Step 2: Convert to fraction form
    5,489.36/7,575.24 = 3,131.44/x
  3. Step 3: Cross multiply
    5,489.36x = 7,575.24 × 3,131.44
  4. Step 4: Simplify right side
    5,489.36x = 23,721,409.55
  5. Step 5: Solve for x
    x = 23,721,409.55/5,489.36
  6. Step 6: Final answer
    x = 4,321.34

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Why These Related Problems?

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