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Finding the Fourth Proportional to 3,172.24, 4,759.02 and 1,092.16

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Solution

The fourth proportional to 3,172.24, 4,759.02 and 1,092.16 is: 1,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.24 : 4,759.02 = 1,092.16 : x
  2. Step 2: Convert to fraction form
    3,172.24/4,759.02 = 1,092.16/x
  3. Step 3: Cross multiply
    3,172.24x = 4,759.02 × 1,092.16
  4. Step 4: Simplify right side
    3,172.24x = 5,197,611.28
  5. Step 5: Solve for x
    x = 5,197,611.28/3,172.24
  6. Step 6: Final answer
    x = 1,638.47

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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.