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Finding the Fourth Proportional to 3,696.68, 5,546.24 and 1,748.63

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Solution

The fourth proportional to 3,696.68, 5,546.24 and 1,748.63 is: 2,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.68 : 5,546.24 = 1,748.63 : x
  2. Step 2: Convert to fraction form
    3,696.68/5,546.24 = 1,748.63/x
  3. Step 3: Cross multiply
    3,696.68x = 5,546.24 × 1,748.63
  4. Step 4: Simplify right side
    3,696.68x = 9,698,321.65
  5. Step 5: Solve for x
    x = 9,698,321.65/3,696.68
  6. Step 6: Final answer
    x = 2,623.52

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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.