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Finding the Fourth Proportional to 4,763.72, 7,133.20 and 3,287.50

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Solution

The fourth proportional to 4,763.72, 7,133.20 and 3,287.50 is: 4,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.72 : 7,133.20 = 3,287.50 : x
  2. Step 2: Convert to fraction form
    4,763.72/7,133.20 = 3,287.50/x
  3. Step 3: Cross multiply
    4,763.72x = 7,133.20 × 3,287.50
  4. Step 4: Simplify right side
    4,763.72x = 23,450,395
  5. Step 5: Solve for x
    x = 23,450,395/4,763.72
  6. Step 6: Final answer
    x = 4,922.71

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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.