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Finding the Fourth Proportional to 5,539.86, 8,309.82 and 1,644.30

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Solution

The fourth proportional to 5,539.86, 8,309.82 and 1,644.30 is: 2,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,539.86 : 8,309.82 = 1,644.30 : x
  2. Step 2: Convert to fraction form
    5,539.86/8,309.82 = 1,644.30/x
  3. Step 3: Cross multiply
    5,539.86x = 8,309.82 × 1,644.30
  4. Step 4: Simplify right side
    5,539.86x = 13,663,837.03
  5. Step 5: Solve for x
    x = 13,663,837.03/5,539.86
  6. Step 6: Final answer
    x = 2,466.46

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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.