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Finding the Fourth Proportional to 3,546.56, 4,894.26 and 1,974.72

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Solution

The fourth proportional to 3,546.56, 4,894.26 and 1,974.72 is: 2,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.56 : 4,894.26 = 1,974.72 : x
  2. Step 2: Convert to fraction form
    3,546.56/4,894.26 = 1,974.72/x
  3. Step 3: Cross multiply
    3,546.56x = 4,894.26 × 1,974.72
  4. Step 4: Simplify right side
    3,546.56x = 9,664,793.11
  5. Step 5: Solve for x
    x = 9,664,793.11/3,546.56
  6. Step 6: Final answer
    x = 2,725.12

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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.