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Finding the Fourth Proportional to 5,442, 8,163.96 and 1,744.32

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Solution

The fourth proportional to 5,442, 8,163.96 and 1,744.32 is: 2,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442 : 8,163.96 = 1,744.32 : x
  2. Step 2: Convert to fraction form
    5,442/8,163.96 = 1,744.32/x
  3. Step 3: Cross multiply
    5,442x = 8,163.96 × 1,744.32
  4. Step 4: Simplify right side
    5,442x = 14,240,558.71
  5. Step 5: Solve for x
    x = 14,240,558.71/5,442
  6. Step 6: Final answer
    x = 2,616.79

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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.