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Finding the Fourth Proportional to 4,661.50, 6,992.25 and 3,196.21

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Solution

The fourth proportional to 4,661.50, 6,992.25 and 3,196.21 is: 4,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.50 : 6,992.25 = 3,196.21 : x
  2. Step 2: Convert to fraction form
    4,661.50/6,992.25 = 3,196.21/x
  3. Step 3: Cross multiply
    4,661.50x = 6,992.25 × 3,196.21
  4. Step 4: Simplify right side
    4,661.50x = 22,348,681.89
  5. Step 5: Solve for x
    x = 22,348,681.89/4,661.50
  6. Step 6: Final answer
    x = 4,794.31

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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.