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Finding the Fourth Proportional to 5,196.57, 7,790.13 and 2,273.82

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Solution

The fourth proportional to 5,196.57, 7,790.13 and 2,273.82 is: 3,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.57 : 7,790.13 = 2,273.82 : x
  2. Step 2: Convert to fraction form
    5,196.57/7,790.13 = 2,273.82/x
  3. Step 3: Cross multiply
    5,196.57x = 7,790.13 × 2,273.82
  4. Step 4: Simplify right side
    5,196.57x = 17,713,353.40
  5. Step 5: Solve for x
    x = 17,713,353.40/5,196.57
  6. Step 6: Final answer
    x = 3,408.66

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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.