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Finding the Fourth Proportional to 5,177.73, 7,765.82 and 1,667.27

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Solution

The fourth proportional to 5,177.73, 7,765.82 and 1,667.27 is: 2,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.73 : 7,765.82 = 1,667.27 : x
  2. Step 2: Convert to fraction form
    5,177.73/7,765.82 = 1,667.27/x
  3. Step 3: Cross multiply
    5,177.73x = 7,765.82 × 1,667.27
  4. Step 4: Simplify right side
    5,177.73x = 12,947,710.38
  5. Step 5: Solve for x
    x = 12,947,710.38/5,177.73
  6. Step 6: Final answer
    x = 2,500.66

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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.