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Finding the Fourth Proportional to 4,783.67, 7,175.50 and 1,273.68

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Solution

The fourth proportional to 4,783.67, 7,175.50 and 1,273.68 is: 1,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.67 : 7,175.50 = 1,273.68 : x
  2. Step 2: Convert to fraction form
    4,783.67/7,175.50 = 1,273.68/x
  3. Step 3: Cross multiply
    4,783.67x = 7,175.50 × 1,273.68
  4. Step 4: Simplify right side
    4,783.67x = 9,139,290.84
  5. Step 5: Solve for x
    x = 9,139,290.84/4,783.67
  6. Step 6: Final answer
    x = 1,910.52

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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.