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Finding the Fourth Proportional to 5,191.70, 7,164.51 and 2,833.83

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Solution

The fourth proportional to 5,191.70, 7,164.51 and 2,833.83 is: 3,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.70 : 7,164.51 = 2,833.83 : x
  2. Step 2: Convert to fraction form
    5,191.70/7,164.51 = 2,833.83/x
  3. Step 3: Cross multiply
    5,191.70x = 7,164.51 × 2,833.83
  4. Step 4: Simplify right side
    5,191.70x = 20,303,003.37
  5. Step 5: Solve for x
    x = 20,303,003.37/5,191.70
  6. Step 6: Final answer
    x = 3,910.67

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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.