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Finding the Fourth Proportional to 4,778.64, 7,167.60 and 2,843.16

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Solution

The fourth proportional to 4,778.64, 7,167.60 and 2,843.16 is: 4,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.64 : 7,167.60 = 2,843.16 : x
  2. Step 2: Convert to fraction form
    4,778.64/7,167.60 = 2,843.16/x
  3. Step 3: Cross multiply
    4,778.64x = 7,167.60 × 2,843.16
  4. Step 4: Simplify right side
    4,778.64x = 20,378,633.62
  5. Step 5: Solve for x
    x = 20,378,633.62/4,778.64
  6. Step 6: Final answer
    x = 4,264.53

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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.