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Finding the Fourth Proportional to 5,216.88, 7,817.46 and 3,134.60

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Solution

The fourth proportional to 5,216.88, 7,817.46 and 3,134.60 is: 4,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.88 : 7,817.46 = 3,134.60 : x
  2. Step 2: Convert to fraction form
    5,216.88/7,817.46 = 3,134.60/x
  3. Step 3: Cross multiply
    5,216.88x = 7,817.46 × 3,134.60
  4. Step 4: Simplify right side
    5,216.88x = 24,504,610.12
  5. Step 5: Solve for x
    x = 24,504,610.12/5,216.88
  6. Step 6: Final answer
    x = 4,697.18

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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.