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Finding the Fourth Proportional to 5,466.40, 8,198.96 and 1,517.96

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Solution

The fourth proportional to 5,466.40, 8,198.96 and 1,517.96 is: 2,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.40 : 8,198.96 = 1,517.96 : x
  2. Step 2: Convert to fraction form
    5,466.40/8,198.96 = 1,517.96/x
  3. Step 3: Cross multiply
    5,466.40x = 8,198.96 × 1,517.96
  4. Step 4: Simplify right side
    5,466.40x = 12,445,693.32
  5. Step 5: Solve for x
    x = 12,445,693.32/5,466.40
  6. Step 6: Final answer
    x = 2,276.76

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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.