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Finding the Fourth Proportional to 5,520.64, 8,276.80 and 1,820.80

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Solution

The fourth proportional to 5,520.64, 8,276.80 and 1,820.80 is: 2,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,520.64 : 8,276.80 = 1,820.80 : x
  2. Step 2: Convert to fraction form
    5,520.64/8,276.80 = 1,820.80/x
  3. Step 3: Cross multiply
    5,520.64x = 8,276.80 × 1,820.80
  4. Step 4: Simplify right side
    5,520.64x = 15,070,397.44
  5. Step 5: Solve for x
    x = 15,070,397.44/5,520.64
  6. Step 6: Final answer
    x = 2,729.83

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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.