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Finding the Fourth Proportional to 3,163.98, 4,746.42 and 1,084.26

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Solution

The fourth proportional to 3,163.98, 4,746.42 and 1,084.26 is: 1,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.98 : 4,746.42 = 1,084.26 : x
  2. Step 2: Convert to fraction form
    3,163.98/4,746.42 = 1,084.26/x
  3. Step 3: Cross multiply
    3,163.98x = 4,746.42 × 1,084.26
  4. Step 4: Simplify right side
    3,163.98x = 5,146,353.35
  5. Step 5: Solve for x
    x = 5,146,353.35/3,163.98
  6. Step 6: Final answer
    x = 1,626.54

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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.