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Finding the Fourth Proportional to 5,191.50, 7,789.68 and 2,270.64

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Solution

The fourth proportional to 5,191.50, 7,789.68 and 2,270.64 is: 3,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.50 : 7,789.68 = 2,270.64 : x
  2. Step 2: Convert to fraction form
    5,191.50/7,789.68 = 2,270.64/x
  3. Step 3: Cross multiply
    5,191.50x = 7,789.68 × 2,270.64
  4. Step 4: Simplify right side
    5,191.50x = 17,687,559.00
  5. Step 5: Solve for x
    x = 17,687,559.00/5,191.50
  6. Step 6: Final answer
    x = 3,407.02

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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.