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Finding the Fourth Proportional to 3,441.99, 5,163.04 and 844.93

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Solution

The fourth proportional to 3,441.99, 5,163.04 and 844.93 is: 1,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.99 : 5,163.04 = 844.93 : x
  2. Step 2: Convert to fraction form
    3,441.99/5,163.04 = 844.93/x
  3. Step 3: Cross multiply
    3,441.99x = 5,163.04 × 844.93
  4. Step 4: Simplify right side
    3,441.99x = 4,362,414.90
  5. Step 5: Solve for x
    x = 4,362,414.90/3,441.99
  6. Step 6: Final answer
    x = 1,267.41

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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.