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Finding the Fourth Proportional to 3,843.64, 5,765.52 and 1,246.84

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Solution

The fourth proportional to 3,843.64, 5,765.52 and 1,246.84 is: 1,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.64 : 5,765.52 = 1,246.84 : x
  2. Step 2: Convert to fraction form
    3,843.64/5,765.52 = 1,246.84/x
  3. Step 3: Cross multiply
    3,843.64x = 5,765.52 × 1,246.84
  4. Step 4: Simplify right side
    3,843.64x = 7,188,680.96
  5. Step 5: Solve for x
    x = 7,188,680.96/3,843.64
  6. Step 6: Final answer
    x = 1,870.28

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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.