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Finding the Fourth Proportional to 2,575.94, 3,863.86 and 2,375.28

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Solution

The fourth proportional to 2,575.94, 3,863.86 and 2,375.28 is: 3,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.94 : 3,863.86 = 2,375.28 : x
  2. Step 2: Convert to fraction form
    2,575.94/3,863.86 = 2,375.28/x
  3. Step 3: Cross multiply
    2,575.94x = 3,863.86 × 2,375.28
  4. Step 4: Simplify right side
    2,575.94x = 9,177,743.44
  5. Step 5: Solve for x
    x = 9,177,743.44/2,575.94
  6. Step 6: Final answer
    x = 3,562.88

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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.