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Finding the Fourth Proportional to 5,109.99, 7,667.14 and 2,189.67

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Solution

The fourth proportional to 5,109.99, 7,667.14 and 2,189.67 is: 3,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.99 : 7,667.14 = 2,189.67 : x
  2. Step 2: Convert to fraction form
    5,109.99/7,667.14 = 2,189.67/x
  3. Step 3: Cross multiply
    5,109.99x = 7,667.14 × 2,189.67
  4. Step 4: Simplify right side
    5,109.99x = 16,788,462.63
  5. Step 5: Solve for x
    x = 16,788,462.63/5,109.99
  6. Step 6: Final answer
    x = 3,285.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.