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Finding the Fourth Proportional to 3,860.46, 5,788.97 and 1,227.47

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Solution

The fourth proportional to 3,860.46, 5,788.97 and 1,227.47 is: 1,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.46 : 5,788.97 = 1,227.47 : x
  2. Step 2: Convert to fraction form
    3,860.46/5,788.97 = 1,227.47/x
  3. Step 3: Cross multiply
    3,860.46x = 5,788.97 × 1,227.47
  4. Step 4: Simplify right side
    3,860.46x = 7,105,789.09
  5. Step 5: Solve for x
    x = 7,105,789.09/3,860.46
  6. Step 6: Final answer
    x = 1,840.66

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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.