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Finding the Fourth Proportional to 3,668, 5,504.40 and 1,616

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Solution

The fourth proportional to 3,668, 5,504.40 and 1,616 is: 2,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668 : 5,504.40 = 1,616 : x
  2. Step 2: Convert to fraction form
    3,668/5,504.40 = 1,616/x
  3. Step 3: Cross multiply
    3,668x = 5,504.40 × 1,616
  4. Step 4: Simplify right side
    3,668x = 8,895,110.40
  5. Step 5: Solve for x
    x = 8,895,110.40/3,668
  6. Step 6: Final answer
    x = 2,425.06

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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.