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Finding the Fourth Proportional to 5,402.64, 8,104.02 and 2,072.46

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Solution

The fourth proportional to 5,402.64, 8,104.02 and 2,072.46 is: 3,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.64 : 8,104.02 = 2,072.46 : x
  2. Step 2: Convert to fraction form
    5,402.64/8,104.02 = 2,072.46/x
  3. Step 3: Cross multiply
    5,402.64x = 8,104.02 × 2,072.46
  4. Step 4: Simplify right side
    5,402.64x = 16,795,257.29
  5. Step 5: Solve for x
    x = 16,795,257.29/5,402.64
  6. Step 6: Final answer
    x = 3,108.71

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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.