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Finding the Fourth Proportional to 5,401, 7,453.38 and 2,917

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Solution

The fourth proportional to 5,401, 7,453.38 and 2,917 is: 4,025.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401 : 7,453.38 = 2,917 : x
  2. Step 2: Convert to fraction form
    5,401/7,453.38 = 2,917/x
  3. Step 3: Cross multiply
    5,401x = 7,453.38 × 2,917
  4. Step 4: Simplify right side
    5,401x = 21,741,509.46
  5. Step 5: Solve for x
    x = 21,741,509.46/5,401
  6. Step 6: Final answer
    x = 4,025.46

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Why These Related Problems?

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