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Finding the Fourth Proportional to 3,667, 5,501.31 and 1,475.86

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Solution

The fourth proportional to 3,667, 5,501.31 and 1,475.86 is: 2,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667 : 5,501.31 = 1,475.86 : x
  2. Step 2: Convert to fraction form
    3,667/5,501.31 = 1,475.86/x
  3. Step 3: Cross multiply
    3,667x = 5,501.31 × 1,475.86
  4. Step 4: Simplify right side
    3,667x = 8,119,163.38
  5. Step 5: Solve for x
    x = 8,119,163.38/3,667
  6. Step 6: Final answer
    x = 2,214.12

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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.