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Finding the Fourth Proportional to 3,172.46, 4,759.30 and 1,091.98

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Solution

The fourth proportional to 3,172.46, 4,759.30 and 1,091.98 is: 1,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.46 : 4,759.30 = 1,091.98 : x
  2. Step 2: Convert to fraction form
    3,172.46/4,759.30 = 1,091.98/x
  3. Step 3: Cross multiply
    3,172.46x = 4,759.30 × 1,091.98
  4. Step 4: Simplify right side
    3,172.46x = 5,197,036.62
  5. Step 5: Solve for x
    x = 5,197,036.62/3,172.46
  6. Step 6: Final answer
    x = 1,638.17

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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.