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Finding the Fourth Proportional to 3,757.25, 5,636.24 and 1,021.25

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Solution

The fourth proportional to 3,757.25, 5,636.24 and 1,021.25 is: 1,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.25 : 5,636.24 = 1,021.25 : x
  2. Step 2: Convert to fraction form
    3,757.25/5,636.24 = 1,021.25/x
  3. Step 3: Cross multiply
    3,757.25x = 5,636.24 × 1,021.25
  4. Step 4: Simplify right side
    3,757.25x = 5,756,004.99
  5. Step 5: Solve for x
    x = 5,756,004.99/3,757.25
  6. Step 6: Final answer
    x = 1,531.97

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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.