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Finding the Fourth Proportional to 3,481.19, 5,221.73 and 848.72

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Solution

The fourth proportional to 3,481.19, 5,221.73 and 848.72 is: 1,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.19 : 5,221.73 = 848.72 : x
  2. Step 2: Convert to fraction form
    3,481.19/5,221.73 = 848.72/x
  3. Step 3: Cross multiply
    3,481.19x = 5,221.73 × 848.72
  4. Step 4: Simplify right side
    3,481.19x = 4,431,795.50
  5. Step 5: Solve for x
    x = 4,431,795.50/3,481.19
  6. Step 6: Final answer
    x = 1,273.07

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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.