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Finding the Fourth Proportional to 3,445.43, 5,171.78 and 3,270.47

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Solution

The fourth proportional to 3,445.43, 5,171.78 and 3,270.47 is: 4,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.43 : 5,171.78 = 3,270.47 : x
  2. Step 2: Convert to fraction form
    3,445.43/5,171.78 = 3,270.47/x
  3. Step 3: Cross multiply
    3,445.43x = 5,171.78 × 3,270.47
  4. Step 4: Simplify right side
    3,445.43x = 16,914,133.65
  5. Step 5: Solve for x
    x = 16,914,133.65/3,445.43
  6. Step 6: Final answer
    x = 4,909.16

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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.