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Finding the Fourth Proportional to 5,311.97, 7,967.88 and 3,232.55

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Solution

The fourth proportional to 5,311.97, 7,967.88 and 3,232.55 is: 4,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.97 : 7,967.88 = 3,232.55 : x
  2. Step 2: Convert to fraction form
    5,311.97/7,967.88 = 3,232.55/x
  3. Step 3: Cross multiply
    5,311.97x = 7,967.88 × 3,232.55
  4. Step 4: Simplify right side
    5,311.97x = 25,756,570.49
  5. Step 5: Solve for x
    x = 25,756,570.49/5,311.97
  6. Step 6: Final answer
    x = 4,848.78

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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.