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Finding the Fourth Proportional to 3,546.45, 4,893.75 and 1,974.51

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Solution

The fourth proportional to 3,546.45, 4,893.75 and 1,974.51 is: 2,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.45 : 4,893.75 = 1,974.51 : x
  2. Step 2: Convert to fraction form
    3,546.45/4,893.75 = 1,974.51/x
  3. Step 3: Cross multiply
    3,546.45x = 4,893.75 × 1,974.51
  4. Step 4: Simplify right side
    3,546.45x = 9,662,758.31
  5. Step 5: Solve for x
    x = 9,662,758.31/3,546.45
  6. Step 6: Final answer
    x = 2,724.63

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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.