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Finding the Fourth Proportional to 4,768.54, 7,152.81 and 1,480.75

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Solution

The fourth proportional to 4,768.54, 7,152.81 and 1,480.75 is: 2,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.54 : 7,152.81 = 1,480.75 : x
  2. Step 2: Convert to fraction form
    4,768.54/7,152.81 = 1,480.75/x
  3. Step 3: Cross multiply
    4,768.54x = 7,152.81 × 1,480.75
  4. Step 4: Simplify right side
    4,768.54x = 10,591,523.41
  5. Step 5: Solve for x
    x = 10,591,523.41/4,768.54
  6. Step 6: Final answer
    x = 2,221.13

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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.