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Finding the Fourth Proportional to 3,696.84, 5,546.14 and 1,748.04

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Solution

The fourth proportional to 3,696.84, 5,546.14 and 1,748.04 is: 2,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.84 : 5,546.14 = 1,748.04 : x
  2. Step 2: Convert to fraction form
    3,696.84/5,546.14 = 1,748.04/x
  3. Step 3: Cross multiply
    3,696.84x = 5,546.14 × 1,748.04
  4. Step 4: Simplify right side
    3,696.84x = 9,694,874.57
  5. Step 5: Solve for x
    x = 9,694,874.57/3,696.84
  6. Step 6: Final answer
    x = 2,622.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.