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Finding the Fourth Proportional to 4,661.82, 6,984.66 and 3,272.52

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Solution

The fourth proportional to 4,661.82, 6,984.66 and 3,272.52 is: 4,903.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.82 : 6,984.66 = 3,272.52 : x
  2. Step 2: Convert to fraction form
    4,661.82/6,984.66 = 3,272.52/x
  3. Step 3: Cross multiply
    4,661.82x = 6,984.66 × 3,272.52
  4. Step 4: Simplify right side
    4,661.82x = 22,857,439.54
  5. Step 5: Solve for x
    x = 22,857,439.54/4,661.82
  6. Step 6: Final answer
    x = 4,903.11

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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.