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Finding the Fourth Proportional to 5,697.24, 8,549.96 and 3,236.86

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Solution

The fourth proportional to 5,697.24, 8,549.96 and 3,236.86 is: 4,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.24 : 8,549.96 = 3,236.86 : x
  2. Step 2: Convert to fraction form
    5,697.24/8,549.96 = 3,236.86/x
  3. Step 3: Cross multiply
    5,697.24x = 8,549.96 × 3,236.86
  4. Step 4: Simplify right side
    5,697.24x = 27,675,018.03
  5. Step 5: Solve for x
    x = 27,675,018.03/5,697.24
  6. Step 6: Final answer
    x = 4,857.62

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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.