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Finding the Fourth Proportional to 5,189.60, 7,161.84 and 2,951.67

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Solution

The fourth proportional to 5,189.60, 7,161.84 and 2,951.67 is: 4,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.60 : 7,161.84 = 2,951.67 : x
  2. Step 2: Convert to fraction form
    5,189.60/7,161.84 = 2,951.67/x
  3. Step 3: Cross multiply
    5,189.60x = 7,161.84 × 2,951.67
  4. Step 4: Simplify right side
    5,189.60x = 21,139,388.27
  5. Step 5: Solve for x
    x = 21,139,388.27/5,189.60
  6. Step 6: Final answer
    x = 4,073.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.