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Finding the Fourth Proportional to 4,836.98, 7,255.47 and 2,063.14

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Solution

The fourth proportional to 4,836.98, 7,255.47 and 2,063.14 is: 3,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.98 : 7,255.47 = 2,063.14 : x
  2. Step 2: Convert to fraction form
    4,836.98/7,255.47 = 2,063.14/x
  3. Step 3: Cross multiply
    4,836.98x = 7,255.47 × 2,063.14
  4. Step 4: Simplify right side
    4,836.98x = 14,969,039.97
  5. Step 5: Solve for x
    x = 14,969,039.97/4,836.98
  6. Step 6: Final answer
    x = 3,094.71

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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.