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Finding the Fourth Proportional to 3,470.06, 5,205.09 and 873

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Solution

The fourth proportional to 3,470.06, 5,205.09 and 873 is: 1,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.06 : 5,205.09 = 873 : x
  2. Step 2: Convert to fraction form
    3,470.06/5,205.09 = 873/x
  3. Step 3: Cross multiply
    3,470.06x = 5,205.09 × 873
  4. Step 4: Simplify right side
    3,470.06x = 4,544,046.84
  5. Step 5: Solve for x
    x = 4,544,046.84/3,470.06
  6. Step 6: Final answer
    x = 1,309.50

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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.