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Finding the Fourth Proportional to 3,363.98, 5,046.63 and 1,172.78

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Solution

The fourth proportional to 3,363.98, 5,046.63 and 1,172.78 is: 1,759.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.98 : 5,046.63 = 1,172.78 : x
  2. Step 2: Convert to fraction form
    3,363.98/5,046.63 = 1,172.78/x
  3. Step 3: Cross multiply
    3,363.98x = 5,046.63 × 1,172.78
  4. Step 4: Simplify right side
    3,363.98x = 5,918,586.73
  5. Step 5: Solve for x
    x = 5,918,586.73/3,363.98
  6. Step 6: Final answer
    x = 1,759.40

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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.