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Finding the Fourth Proportional to 5,627.43, 7,766.80 and 3,270.94

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Solution

The fourth proportional to 5,627.43, 7,766.80 and 3,270.94 is: 4,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.43 : 7,766.80 = 3,270.94 : x
  2. Step 2: Convert to fraction form
    5,627.43/7,766.80 = 3,270.94/x
  3. Step 3: Cross multiply
    5,627.43x = 7,766.80 × 3,270.94
  4. Step 4: Simplify right side
    5,627.43x = 25,404,736.79
  5. Step 5: Solve for x
    x = 25,404,736.79/5,627.43
  6. Step 6: Final answer
    x = 4,514.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.