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Finding the Fourth Proportional to 3,696.97, 5,542.71 and 1,746.89

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Solution

The fourth proportional to 3,696.97, 5,542.71 and 1,746.89 is: 2,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.97 : 5,542.71 = 1,746.89 : x
  2. Step 2: Convert to fraction form
    3,696.97/5,542.71 = 1,746.89/x
  3. Step 3: Cross multiply
    3,696.97x = 5,542.71 × 1,746.89
  4. Step 4: Simplify right side
    3,696.97x = 9,682,514.69
  5. Step 5: Solve for x
    x = 9,682,514.69/3,696.97
  6. Step 6: Final answer
    x = 2,619.04

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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.