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Finding the Fourth Proportional to 3,668, 5,498.36 and 1,716.71

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Solution

The fourth proportional to 3,668, 5,498.36 and 1,716.71 is: 2,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668 : 5,498.36 = 1,716.71 : x
  2. Step 2: Convert to fraction form
    3,668/5,498.36 = 1,716.71/x
  3. Step 3: Cross multiply
    3,668x = 5,498.36 × 1,716.71
  4. Step 4: Simplify right side
    3,668x = 9,439,081.01
  5. Step 5: Solve for x
    x = 9,439,081.01/3,668
  6. Step 6: Final answer
    x = 2,573.36

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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.