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Finding the Fourth Proportional to 3,860.56, 5,791.44 and 1,262.90

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Solution

The fourth proportional to 3,860.56, 5,791.44 and 1,262.90 is: 1,894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.56 : 5,791.44 = 1,262.90 : x
  2. Step 2: Convert to fraction form
    3,860.56/5,791.44 = 1,262.90/x
  3. Step 3: Cross multiply
    3,860.56x = 5,791.44 × 1,262.90
  4. Step 4: Simplify right side
    3,860.56x = 7,314,009.58
  5. Step 5: Solve for x
    x = 7,314,009.58/3,860.56
  6. Step 6: Final answer
    x = 1,894.55

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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.