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Finding the Fourth Proportional to 5,497.68, 8,247.84 and 2,034.96

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Solution

The fourth proportional to 5,497.68, 8,247.84 and 2,034.96 is: 3,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.68 : 8,247.84 = 2,034.96 : x
  2. Step 2: Convert to fraction form
    5,497.68/8,247.84 = 2,034.96/x
  3. Step 3: Cross multiply
    5,497.68x = 8,247.84 × 2,034.96
  4. Step 4: Simplify right side
    5,497.68x = 16,784,024.49
  5. Step 5: Solve for x
    x = 16,784,024.49/5,497.68
  6. Step 6: Final answer
    x = 3,052.93

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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.