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Finding the Fourth Proportional to 3,362, 5,043 and 3,163.28

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Solution

The fourth proportional to 3,362, 5,043 and 3,163.28 is: 4,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362 : 5,043 = 3,163.28 : x
  2. Step 2: Convert to fraction form
    3,362/5,043 = 3,163.28/x
  3. Step 3: Cross multiply
    3,362x = 5,043 × 3,163.28
  4. Step 4: Simplify right side
    3,362x = 15,952,421.04
  5. Step 5: Solve for x
    x = 15,952,421.04/3,362
  6. Step 6: Final answer
    x = 4,744.92

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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.