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Finding the Fourth Proportional to 5,755.83, 7,942.46 and 3,237.54

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Solution

The fourth proportional to 5,755.83, 7,942.46 and 3,237.54 is: 4,467.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.83 : 7,942.46 = 3,237.54 : x
  2. Step 2: Convert to fraction form
    5,755.83/7,942.46 = 3,237.54/x
  3. Step 3: Cross multiply
    5,755.83x = 7,942.46 × 3,237.54
  4. Step 4: Simplify right side
    5,755.83x = 25,714,031.95
  5. Step 5: Solve for x
    x = 25,714,031.95/5,755.83
  6. Step 6: Final answer
    x = 4,467.48

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1.5x scale

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.