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Finding the Fourth Proportional to 3,546.61, 4,894.01 and 1,974.85

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Solution

The fourth proportional to 3,546.61, 4,894.01 and 1,974.85 is: 2,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.61 : 4,894.01 = 1,974.85 : x
  2. Step 2: Convert to fraction form
    3,546.61/4,894.01 = 1,974.85/x
  3. Step 3: Cross multiply
    3,546.61x = 4,894.01 × 1,974.85
  4. Step 4: Simplify right side
    3,546.61x = 9,664,911.18
  5. Step 5: Solve for x
    x = 9,664,911.18/3,546.61
  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.