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Finding the Fourth Proportional to 4,783.73, 7,175.73 and 1,496.75

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Solution

The fourth proportional to 4,783.73, 7,175.73 and 1,496.75 is: 2,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.73 : 7,175.73 = 1,496.75 : x
  2. Step 2: Convert to fraction form
    4,783.73/7,175.73 = 1,496.75/x
  3. Step 3: Cross multiply
    4,783.73x = 7,175.73 × 1,496.75
  4. Step 4: Simplify right side
    4,783.73x = 10,740,273.88
  5. Step 5: Solve for x
    x = 10,740,273.88/4,783.73
  6. Step 6: Final answer
    x = 2,245.17

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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.