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Finding the Fourth Proportional to 3,847.64, 5,765.46 and 2,284.52

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Solution

The fourth proportional to 3,847.64, 5,765.46 and 2,284.52 is: 3,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.64 : 5,765.46 = 2,284.52 : x
  2. Step 2: Convert to fraction form
    3,847.64/5,765.46 = 2,284.52/x
  3. Step 3: Cross multiply
    3,847.64x = 5,765.46 × 2,284.52
  4. Step 4: Simplify right side
    3,847.64x = 13,171,308.68
  5. Step 5: Solve for x
    x = 13,171,308.68/3,847.64
  6. Step 6: Final answer
    x = 3,423.22

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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.