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Finding the Fourth Proportional to 5,191.24, 7,789.74 and 2,113

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Solution

The fourth proportional to 5,191.24, 7,789.74 and 2,113 is: 3,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.24 : 7,789.74 = 2,113 : x
  2. Step 2: Convert to fraction form
    5,191.24/7,789.74 = 2,113/x
  3. Step 3: Cross multiply
    5,191.24x = 7,789.74 × 2,113
  4. Step 4: Simplify right side
    5,191.24x = 16,459,720.62
  5. Step 5: Solve for x
    x = 16,459,720.62/5,191.24
  6. Step 6: Final answer
    x = 3,170.67

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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.