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Finding the Fourth Proportional to 3,943.49, 5,914.40 and 1,478.49

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Solution

The fourth proportional to 3,943.49, 5,914.40 and 1,478.49 is: 2,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.49 : 5,914.40 = 1,478.49 : x
  2. Step 2: Convert to fraction form
    3,943.49/5,914.40 = 1,478.49/x
  3. Step 3: Cross multiply
    3,943.49x = 5,914.40 × 1,478.49
  4. Step 4: Simplify right side
    3,943.49x = 8,744,399.74
  5. Step 5: Solve for x
    x = 8,744,399.74/3,943.49
  6. Step 6: Final answer
    x = 2,217.43

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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.