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Finding the Fourth Proportional to 5,296.20, 7,944.36 and 3,647.84

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Solution

The fourth proportional to 5,296.20, 7,944.36 and 3,647.84 is: 5,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.20 : 7,944.36 = 3,647.84 : x
  2. Step 2: Convert to fraction form
    5,296.20/7,944.36 = 3,647.84/x
  3. Step 3: Cross multiply
    5,296.20x = 7,944.36 × 3,647.84
  4. Step 4: Simplify right side
    5,296.20x = 28,979,754.18
  5. Step 5: Solve for x
    x = 28,979,754.18/5,296.20
  6. Step 6: Final answer
    x = 5,471.80

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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.