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Finding the Fourth Proportional to 3,485.06, 5,227.50 and 852.56

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Solution

The fourth proportional to 3,485.06, 5,227.50 and 852.56 is: 1,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.06 : 5,227.50 = 852.56 : x
  2. Step 2: Convert to fraction form
    3,485.06/5,227.50 = 852.56/x
  3. Step 3: Cross multiply
    3,485.06x = 5,227.50 × 852.56
  4. Step 4: Simplify right side
    3,485.06x = 4,456,757.40
  5. Step 5: Solve for x
    x = 4,456,757.40/3,485.06
  6. Step 6: Final answer
    x = 1,278.82

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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.