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Finding the Fourth Proportional to 3,669, 5,503.77 and 1,072.14

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Solution

The fourth proportional to 3,669, 5,503.77 and 1,072.14 is: 1,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669 : 5,503.77 = 1,072.14 : x
  2. Step 2: Convert to fraction form
    3,669/5,503.77 = 1,072.14/x
  3. Step 3: Cross multiply
    3,669x = 5,503.77 × 1,072.14
  4. Step 4: Simplify right side
    3,669x = 5,900,811.97
  5. Step 5: Solve for x
    x = 5,900,811.97/3,669
  6. Step 6: Final answer
    x = 1,608.29

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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.