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Finding the Fourth Proportional to 5,517.60, 8,274.80 and 1,820.32

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Solution

The fourth proportional to 5,517.60, 8,274.80 and 1,820.32 is: 2,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,517.60 : 8,274.80 = 1,820.32 : x
  2. Step 2: Convert to fraction form
    5,517.60/8,274.80 = 1,820.32/x
  3. Step 3: Cross multiply
    5,517.60x = 8,274.80 × 1,820.32
  4. Step 4: Simplify right side
    5,517.60x = 15,062,783.94
  5. Step 5: Solve for x
    x = 15,062,783.94/5,517.60
  6. Step 6: Final answer
    x = 2,729.95

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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.