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Finding the Fourth Proportional to 5,761.12, 7,941.20 and 4,361.44

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Solution

The fourth proportional to 5,761.12, 7,941.20 and 4,361.44 is: 6,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.12 : 7,941.20 = 4,361.44 : x
  2. Step 2: Convert to fraction form
    5,761.12/7,941.20 = 4,361.44/x
  3. Step 3: Cross multiply
    5,761.12x = 7,941.20 × 4,361.44
  4. Step 4: Simplify right side
    5,761.12x = 34,635,067.33
  5. Step 5: Solve for x
    x = 34,635,067.33/5,761.12
  6. Step 6: Final answer
    x = 6,011.86

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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.