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Finding the Fourth Proportional to 5,540.88, 8,311.34 and 1,645.32

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Solution

The fourth proportional to 5,540.88, 8,311.34 and 1,645.32 is: 2,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.88 : 8,311.34 = 1,645.32 : x
  2. Step 2: Convert to fraction form
    5,540.88/8,311.34 = 1,645.32/x
  3. Step 3: Cross multiply
    5,540.88x = 8,311.34 × 1,645.32
  4. Step 4: Simplify right side
    5,540.88x = 13,674,813.93
  5. Step 5: Solve for x
    x = 13,674,813.93/5,540.88
  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.