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Finding the Fourth Proportional to 5,449.29, 8,173.14 and 1,751.83

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Solution

The fourth proportional to 5,449.29, 8,173.14 and 1,751.83 is: 2,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.29 : 8,173.14 = 1,751.83 : x
  2. Step 2: Convert to fraction form
    5,449.29/8,173.14 = 1,751.83/x
  3. Step 3: Cross multiply
    5,449.29x = 8,173.14 × 1,751.83
  4. Step 4: Simplify right side
    5,449.29x = 14,317,951.85
  5. Step 5: Solve for x
    x = 14,317,951.85/5,449.29
  6. Step 6: Final answer
    x = 2,627.49

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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.