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Finding the Fourth Proportional to 3,668.39, 5,497.72 and 1,716.49

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Solution

The fourth proportional to 3,668.39, 5,497.72 and 1,716.49 is: 2,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.39 : 5,497.72 = 1,716.49 : x
  2. Step 2: Convert to fraction form
    3,668.39/5,497.72 = 1,716.49/x
  3. Step 3: Cross multiply
    3,668.39x = 5,497.72 × 1,716.49
  4. Step 4: Simplify right side
    3,668.39x = 9,436,793.64
  5. Step 5: Solve for x
    x = 9,436,793.64/3,668.39
  6. Step 6: Final answer
    x = 2,572.46

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