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Finding the Fourth Proportional to 4,733.76, 7,103.36 and 3,270.28

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Solution

The fourth proportional to 4,733.76, 7,103.36 and 3,270.28 is: 4,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.76 : 7,103.36 = 3,270.28 : x
  2. Step 2: Convert to fraction form
    4,733.76/7,103.36 = 3,270.28/x
  3. Step 3: Cross multiply
    4,733.76x = 7,103.36 × 3,270.28
  4. Step 4: Simplify right side
    4,733.76x = 23,229,976.14
  5. Step 5: Solve for x
    x = 23,229,976.14/4,733.76
  6. Step 6: Final answer
    x = 4,907.30

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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.