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Finding the Fourth Proportional to 3,191.73, 4,786.96 and 3,033.50

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Solution

The fourth proportional to 3,191.73, 4,786.96 and 3,033.50 is: 4,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.73 : 4,786.96 = 3,033.50 : x
  2. Step 2: Convert to fraction form
    3,191.73/4,786.96 = 3,033.50/x
  3. Step 3: Cross multiply
    3,191.73x = 4,786.96 × 3,033.50
  4. Step 4: Simplify right side
    3,191.73x = 14,521,211.64
  5. Step 5: Solve for x
    x = 14,521,211.64/3,191.73
  6. Step 6: Final answer
    x = 4,549.64

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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.