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Finding the Fourth Proportional to 4,781.44, 7,170.90 and 3,220.54

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Solution

The fourth proportional to 4,781.44, 7,170.90 and 3,220.54 is: 4,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.44 : 7,170.90 = 3,220.54 : x
  2. Step 2: Convert to fraction form
    4,781.44/7,170.90 = 3,220.54/x
  3. Step 3: Cross multiply
    4,781.44x = 7,170.90 × 3,220.54
  4. Step 4: Simplify right side
    4,781.44x = 23,094,170.29
  5. Step 5: Solve for x
    x = 23,094,170.29/4,781.44
  6. Step 6: Final answer
    x = 4,829.96

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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.