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Finding the Fourth Proportional to 5,304.86, 7,951.82 and 2,384

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Solution

The fourth proportional to 5,304.86, 7,951.82 and 2,384 is: 3,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.86 : 7,951.82 = 2,384 : x
  2. Step 2: Convert to fraction form
    5,304.86/7,951.82 = 2,384/x
  3. Step 3: Cross multiply
    5,304.86x = 7,951.82 × 2,384
  4. Step 4: Simplify right side
    5,304.86x = 18,957,138.88
  5. Step 5: Solve for x
    x = 18,957,138.88/5,304.86
  6. Step 6: Final answer
    x = 3,573.54

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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.