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Finding the Fourth Proportional to 3,667, 5,495.64 and 3,054.64

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Solution

The fourth proportional to 3,667, 5,495.64 and 3,054.64 is: 4,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667 : 5,495.64 = 3,054.64 : x
  2. Step 2: Convert to fraction form
    3,667/5,495.64 = 3,054.64/x
  3. Step 3: Cross multiply
    3,667x = 5,495.64 × 3,054.64
  4. Step 4: Simplify right side
    3,667x = 16,787,201.77
  5. Step 5: Solve for x
    x = 16,787,201.77/3,667
  6. Step 6: Final answer
    x = 4,577.91

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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.