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Finding the Fourth Proportional to 3,668.14, 5,063.07 and 3,006.57

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Solution

The fourth proportional to 3,668.14, 5,063.07 and 3,006.57 is: 4,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.14 : 5,063.07 = 3,006.57 : x
  2. Step 2: Convert to fraction form
    3,668.14/5,063.07 = 3,006.57/x
  3. Step 3: Cross multiply
    3,668.14x = 5,063.07 × 3,006.57
  4. Step 4: Simplify right side
    3,668.14x = 15,222,504.63
  5. Step 5: Solve for x
    x = 15,222,504.63/3,668.14
  6. Step 6: Final answer
    x = 4,149.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.