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Finding the Fourth Proportional to 4,546.53, 6,819.03 and 1,259.95

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Solution

The fourth proportional to 4,546.53, 6,819.03 and 1,259.95 is: 1,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.53 : 6,819.03 = 1,259.95 : x
  2. Step 2: Convert to fraction form
    4,546.53/6,819.03 = 1,259.95/x
  3. Step 3: Cross multiply
    4,546.53x = 6,819.03 × 1,259.95
  4. Step 4: Simplify right side
    4,546.53x = 8,591,636.85
  5. Step 5: Solve for x
    x = 8,591,636.85/4,546.53
  6. Step 6: Final answer
    x = 1,889.71

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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.