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Finding the Fourth Proportional to 4,768.14, 7,152.98 and 1,480.47

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Solution

The fourth proportional to 4,768.14, 7,152.98 and 1,480.47 is: 2,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.14 : 7,152.98 = 1,480.47 : x
  2. Step 2: Convert to fraction form
    4,768.14/7,152.98 = 1,480.47/x
  3. Step 3: Cross multiply
    4,768.14x = 7,152.98 × 1,480.47
  4. Step 4: Simplify right side
    4,768.14x = 10,589,736.54
  5. Step 5: Solve for x
    x = 10,589,736.54/4,768.14
  6. Step 6: Final answer
    x = 2,220.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.