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Finding the Fourth Proportional to 5,378, 8,067.31 and 1,915.25

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Solution

The fourth proportional to 5,378, 8,067.31 and 1,915.25 is: 2,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378 : 8,067.31 = 1,915.25 : x
  2. Step 2: Convert to fraction form
    5,378/8,067.31 = 1,915.25/x
  3. Step 3: Cross multiply
    5,378x = 8,067.31 × 1,915.25
  4. Step 4: Simplify right side
    5,378x = 15,450,905.90
  5. Step 5: Solve for x
    x = 15,450,905.90/5,378
  6. Step 6: Final answer
    x = 2,872.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.