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Finding the Fourth Proportional to 5,893.72, 8,843.46 and 2,815

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Solution

The fourth proportional to 5,893.72, 8,843.46 and 2,815 is: 4,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.72 : 8,843.46 = 2,815 : x
  2. Step 2: Convert to fraction form
    5,893.72/8,843.46 = 2,815/x
  3. Step 3: Cross multiply
    5,893.72x = 8,843.46 × 2,815
  4. Step 4: Simplify right side
    5,893.72x = 24,894,339.90
  5. Step 5: Solve for x
    x = 24,894,339.90/5,893.72
  6. Step 6: Final answer
    x = 4,223.88

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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.