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Finding the Fourth Proportional to 5,245.38, 7,867.46 and 1,958.40

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Solution

The fourth proportional to 5,245.38, 7,867.46 and 1,958.40 is: 2,937.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.38 : 7,867.46 = 1,958.40 : x
  2. Step 2: Convert to fraction form
    5,245.38/7,867.46 = 1,958.40/x
  3. Step 3: Cross multiply
    5,245.38x = 7,867.46 × 1,958.40
  4. Step 4: Simplify right side
    5,245.38x = 15,407,638.56
  5. Step 5: Solve for x
    x = 15,407,638.56/5,245.38
  6. Step 6: Final answer
    x = 2,937.37

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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.