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Finding the Fourth Proportional to 4,819.74, 7,234.47 and 3,254.82

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Solution

The fourth proportional to 4,819.74, 7,234.47 and 3,254.82 is: 4,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.74 : 7,234.47 = 3,254.82 : x
  2. Step 2: Convert to fraction form
    4,819.74/7,234.47 = 3,254.82/x
  3. Step 3: Cross multiply
    4,819.74x = 7,234.47 × 3,254.82
  4. Step 4: Simplify right side
    4,819.74x = 23,546,897.65
  5. Step 5: Solve for x
    x = 23,546,897.65/4,819.74
  6. Step 6: Final answer
    x = 4,885.51

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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.