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Finding the Fourth Proportional to 3,860.46, 5,788.52 and 1,227.48

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Solution

The fourth proportional to 3,860.46, 5,788.52 and 1,227.48 is: 1,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.46 : 5,788.52 = 1,227.48 : x
  2. Step 2: Convert to fraction form
    3,860.46/5,788.52 = 1,227.48/x
  3. Step 3: Cross multiply
    3,860.46x = 5,788.52 × 1,227.48
  4. Step 4: Simplify right side
    3,860.46x = 7,105,292.53
  5. Step 5: Solve for x
    x = 7,105,292.53/3,860.46
  6. Step 6: Final answer
    x = 1,840.53

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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.