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Finding the Fourth Proportional to 3,272.45, 4,908.73 and 3,106.30

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Solution

The fourth proportional to 3,272.45, 4,908.73 and 3,106.30 is: 4,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.45 : 4,908.73 = 3,106.30 : x
  2. Step 2: Convert to fraction form
    3,272.45/4,908.73 = 3,106.30/x
  3. Step 3: Cross multiply
    3,272.45x = 4,908.73 × 3,106.30
  4. Step 4: Simplify right side
    3,272.45x = 15,247,974.25
  5. Step 5: Solve for x
    x = 15,247,974.25/3,272.45
  6. Step 6: Final answer
    x = 4,659.50

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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.