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Finding the Fourth Proportional to 3,843.88, 5,765.68 and 1,246.75

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Solution

The fourth proportional to 3,843.88, 5,765.68 and 1,246.75 is: 1,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.88 : 5,765.68 = 1,246.75 : x
  2. Step 2: Convert to fraction form
    3,843.88/5,765.68 = 1,246.75/x
  3. Step 3: Cross multiply
    3,843.88x = 5,765.68 × 1,246.75
  4. Step 4: Simplify right side
    3,843.88x = 7,188,361.54
  5. Step 5: Solve for x
    x = 7,188,361.54/3,843.88
  6. Step 6: Final answer
    x = 1,870.08

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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.