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Finding the Fourth Proportional to 3,751.72, 5,627.43 and 940.55

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Solution

The fourth proportional to 3,751.72, 5,627.43 and 940.55 is: 1,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.72 : 5,627.43 = 940.55 : x
  2. Step 2: Convert to fraction form
    3,751.72/5,627.43 = 940.55/x
  3. Step 3: Cross multiply
    3,751.72x = 5,627.43 × 940.55
  4. Step 4: Simplify right side
    3,751.72x = 5,292,879.29
  5. Step 5: Solve for x
    x = 5,292,879.29/3,751.72
  6. Step 6: Final answer
    x = 1,410.79

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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.