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Finding the Fourth Proportional to 5,191.47, 7,789.50 and 2,725.70

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Solution

The fourth proportional to 5,191.47, 7,789.50 and 2,725.70 is: 4,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.47 : 7,789.50 = 2,725.70 : x
  2. Step 2: Convert to fraction form
    5,191.47/7,789.50 = 2,725.70/x
  3. Step 3: Cross multiply
    5,191.47x = 7,789.50 × 2,725.70
  4. Step 4: Simplify right side
    5,191.47x = 21,231,801.20
  5. Step 5: Solve for x
    x = 21,231,801.20/5,191.47
  6. Step 6: Final answer
    x = 4,089.75

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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.