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Finding the Fourth Proportional to 5,218.98, 7,814.70 and 3,660.90

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Solution

The fourth proportional to 5,218.98, 7,814.70 and 3,660.90 is: 5,481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.98 : 7,814.70 = 3,660.90 : x
  2. Step 2: Convert to fraction form
    5,218.98/7,814.70 = 3,660.90/x
  3. Step 3: Cross multiply
    5,218.98x = 7,814.70 × 3,660.90
  4. Step 4: Simplify right side
    5,218.98x = 28,608,835.23
  5. Step 5: Solve for x
    x = 28,608,835.23/5,218.98
  6. Step 6: Final answer
    x = 5,481.69

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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.