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Finding the Fourth Proportional to 5,550.98, 7,660.38 and 3,033.14

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Solution

The fourth proportional to 5,550.98, 7,660.38 and 3,033.14 is: 4,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,550.98 : 7,660.38 = 3,033.14 : x
  2. Step 2: Convert to fraction form
    5,550.98/7,660.38 = 3,033.14/x
  3. Step 3: Cross multiply
    5,550.98x = 7,660.38 × 3,033.14
  4. Step 4: Simplify right side
    5,550.98x = 23,235,004.99
  5. Step 5: Solve for x
    x = 23,235,004.99/5,550.98
  6. Step 6: Final answer
    x = 4,185.75

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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.