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Finding the Fourth Proportional to 3,546.53, 4,894.23 and 1,974.62

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Solution

The fourth proportional to 3,546.53, 4,894.23 and 1,974.62 is: 2,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.53 : 4,894.23 = 1,974.62 : x
  2. Step 2: Convert to fraction form
    3,546.53/4,894.23 = 1,974.62/x
  3. Step 3: Cross multiply
    3,546.53x = 4,894.23 × 1,974.62
  4. Step 4: Simplify right side
    3,546.53x = 9,664,252.98
  5. Step 5: Solve for x
    x = 9,664,252.98/3,546.53
  6. Step 6: Final answer
    x = 2,724.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.