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Finding the Fourth Proportional to 3,546.82, 4,894.45 and 1,974.90

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Solution

The fourth proportional to 3,546.82, 4,894.45 and 1,974.90 is: 2,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.82 : 4,894.45 = 1,974.90 : x
  2. Step 2: Convert to fraction form
    3,546.82/4,894.45 = 1,974.90/x
  3. Step 3: Cross multiply
    3,546.82x = 4,894.45 × 1,974.90
  4. Step 4: Simplify right side
    3,546.82x = 9,666,049.31
  5. Step 5: Solve for x
    x = 9,666,049.31/3,546.82
  6. Step 6: Final answer
    x = 2,725.27

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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.