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Finding the Fourth Proportional to 4,195.62, 6,292.53 and 1,729.80

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Solution

The fourth proportional to 4,195.62, 6,292.53 and 1,729.80 is: 2,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.62 : 6,292.53 = 1,729.80 : x
  2. Step 2: Convert to fraction form
    4,195.62/6,292.53 = 1,729.80/x
  3. Step 3: Cross multiply
    4,195.62x = 6,292.53 × 1,729.80
  4. Step 4: Simplify right side
    4,195.62x = 10,884,818.39
  5. Step 5: Solve for x
    x = 10,884,818.39/4,195.62
  6. Step 6: Final answer
    x = 2,594.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.