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Finding the Fourth Proportional to 5,540.96, 8,311.28 and 1,645.36

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Solution

The fourth proportional to 5,540.96, 8,311.28 and 1,645.36 is: 2,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.96 : 8,311.28 = 1,645.36 : x
  2. Step 2: Convert to fraction form
    5,540.96/8,311.28 = 1,645.36/x
  3. Step 3: Cross multiply
    5,540.96x = 8,311.28 × 1,645.36
  4. Step 4: Simplify right side
    5,540.96x = 13,675,047.66
  5. Step 5: Solve for x
    x = 13,675,047.66/5,540.96
  6. Step 6: Final answer
    x = 2,467.99

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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.