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Finding the Fourth Proportional to 3,943.46, 5,916 and 1,478.27

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Solution

The fourth proportional to 3,943.46, 5,916 and 1,478.27 is: 2,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.46 : 5,916 = 1,478.27 : x
  2. Step 2: Convert to fraction form
    3,943.46/5,916 = 1,478.27/x
  3. Step 3: Cross multiply
    3,943.46x = 5,916 × 1,478.27
  4. Step 4: Simplify right side
    3,943.46x = 8,745,445.32
  5. Step 5: Solve for x
    x = 8,745,445.32/3,943.46
  6. Step 6: Final answer
    x = 2,217.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.