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Finding the Fourth Proportional to 5,307.38, 7,967.22 and 2,847

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Solution

The fourth proportional to 5,307.38, 7,967.22 and 2,847 is: 4,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.38 : 7,967.22 = 2,847 : x
  2. Step 2: Convert to fraction form
    5,307.38/7,967.22 = 2,847/x
  3. Step 3: Cross multiply
    5,307.38x = 7,967.22 × 2,847
  4. Step 4: Simplify right side
    5,307.38x = 22,682,675.34
  5. Step 5: Solve for x
    x = 22,682,675.34/5,307.38
  6. Step 6: Final answer
    x = 4,273.80

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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.