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Finding the Fourth Proportional to 4,954.67, 7,433.14 and 1,667.67

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Solution

The fourth proportional to 4,954.67, 7,433.14 and 1,667.67 is: 2,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.67 : 7,433.14 = 1,667.67 : x
  2. Step 2: Convert to fraction form
    4,954.67/7,433.14 = 1,667.67/x
  3. Step 3: Cross multiply
    4,954.67x = 7,433.14 × 1,667.67
  4. Step 4: Simplify right side
    4,954.67x = 12,396,016.25
  5. Step 5: Solve for x
    x = 12,396,016.25/4,954.67
  6. Step 6: Final answer
    x = 2,501.89

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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.