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Finding the Fourth Proportional to 3,766.52, 5,197.68 and 2,273.89

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Solution

The fourth proportional to 3,766.52, 5,197.68 and 2,273.89 is: 3,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.52 : 5,197.68 = 2,273.89 : x
  2. Step 2: Convert to fraction form
    3,766.52/5,197.68 = 2,273.89/x
  3. Step 3: Cross multiply
    3,766.52x = 5,197.68 × 2,273.89
  4. Step 4: Simplify right side
    3,766.52x = 11,818,939.58
  5. Step 5: Solve for x
    x = 11,818,939.58/3,766.52
  6. Step 6: Final answer
    x = 3,137.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.