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Finding the Fourth Proportional to 3,755.96, 5,627.75 and 1,289.43

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Solution

The fourth proportional to 3,755.96, 5,627.75 and 1,289.43 is: 1,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.96 : 5,627.75 = 1,289.43 : x
  2. Step 2: Convert to fraction form
    3,755.96/5,627.75 = 1,289.43/x
  3. Step 3: Cross multiply
    3,755.96x = 5,627.75 × 1,289.43
  4. Step 4: Simplify right side
    3,755.96x = 7,256,592.91
  5. Step 5: Solve for x
    x = 7,256,592.91/3,755.96
  6. Step 6: Final answer
    x = 1,932.02

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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.