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Finding the Fourth Proportional to 5,782.22, 7,977.39 and 3,512.78

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Solution

The fourth proportional to 5,782.22, 7,977.39 and 3,512.78 is: 4,846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.22 : 7,977.39 = 3,512.78 : x
  2. Step 2: Convert to fraction form
    5,782.22/7,977.39 = 3,512.78/x
  3. Step 3: Cross multiply
    5,782.22x = 7,977.39 × 3,512.78
  4. Step 4: Simplify right side
    5,782.22x = 28,022,816.04
  5. Step 5: Solve for x
    x = 28,022,816.04/5,782.22
  6. Step 6: Final answer
    x = 4,846.38

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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.