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Finding the Fourth Proportional to 5,255.85, 7,255.26 and 3,489.84

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Solution

The fourth proportional to 5,255.85, 7,255.26 and 3,489.84 is: 4,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.85 : 7,255.26 = 3,489.84 : x
  2. Step 2: Convert to fraction form
    5,255.85/7,255.26 = 3,489.84/x
  3. Step 3: Cross multiply
    5,255.85x = 7,255.26 × 3,489.84
  4. Step 4: Simplify right side
    5,255.85x = 25,319,696.56
  5. Step 5: Solve for x
    x = 25,319,696.56/5,255.85
  6. Step 6: Final answer
    x = 4,817.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.