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Finding the Fourth Proportional to 3,172.68, 4,759.35 and 1,092.41

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Solution

The fourth proportional to 3,172.68, 4,759.35 and 1,092.41 is: 1,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.68 : 4,759.35 = 1,092.41 : x
  2. Step 2: Convert to fraction form
    3,172.68/4,759.35 = 1,092.41/x
  3. Step 3: Cross multiply
    3,172.68x = 4,759.35 × 1,092.41
  4. Step 4: Simplify right side
    3,172.68x = 5,199,151.49
  5. Step 5: Solve for x
    x = 5,199,151.49/3,172.68
  6. Step 6: Final answer
    x = 1,638.73

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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.