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Finding the Fourth Proportional to 3,540.88, 5,311.32 and 2,170

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Solution

The fourth proportional to 3,540.88, 5,311.32 and 2,170 is: 3,255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.88 : 5,311.32 = 2,170 : x
  2. Step 2: Convert to fraction form
    3,540.88/5,311.32 = 2,170/x
  3. Step 3: Cross multiply
    3,540.88x = 5,311.32 × 2,170
  4. Step 4: Simplify right side
    3,540.88x = 11,525,564.40
  5. Step 5: Solve for x
    x = 11,525,564.40/3,540.88
  6. Step 6: Final answer
    x = 3,255.00

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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.