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Finding the Fourth Proportional to 5,378.26, 8,067.52 and 1,915.50

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Solution

The fourth proportional to 5,378.26, 8,067.52 and 1,915.50 is: 2,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.26 : 8,067.52 = 1,915.50 : x
  2. Step 2: Convert to fraction form
    5,378.26/8,067.52 = 1,915.50/x
  3. Step 3: Cross multiply
    5,378.26x = 8,067.52 × 1,915.50
  4. Step 4: Simplify right side
    5,378.26x = 15,453,334.56
  5. Step 5: Solve for x
    x = 15,453,334.56/5,378.26
  6. Step 6: Final answer
    x = 2,873.30

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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.