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Finding the Fourth Proportional to 4,270.69, 6,414.23 and 3,540.43

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Solution

The fourth proportional to 4,270.69, 6,414.23 and 3,540.43 is: 5,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.69 : 6,414.23 = 3,540.43 : x
  2. Step 2: Convert to fraction form
    4,270.69/6,414.23 = 3,540.43/x
  3. Step 3: Cross multiply
    4,270.69x = 6,414.23 × 3,540.43
  4. Step 4: Simplify right side
    4,270.69x = 22,709,164.74
  5. Step 5: Solve for x
    x = 22,709,164.74/4,270.69
  6. Step 6: Final answer
    x = 5,317.45

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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.