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Finding the Fourth Proportional to 5,539.74, 8,310.98 and 1,644.14

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Solution

The fourth proportional to 5,539.74, 8,310.98 and 1,644.14 is: 2,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.74 : 8,310.98 = 1,644.14 : x
  2. Step 2: Convert to fraction form
    5,539.74/8,310.98 = 1,644.14/x
  3. Step 3: Cross multiply
    5,539.74x = 8,310.98 × 1,644.14
  4. Step 4: Simplify right side
    5,539.74x = 13,664,414.66
  5. Step 5: Solve for x
    x = 13,664,414.66/5,539.74
  6. Step 6: Final answer
    x = 2,466.62

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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.