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Finding the Fourth Proportional to 5,205.72, 7,796.16 and 2,862.12

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Solution

The fourth proportional to 5,205.72, 7,796.16 and 2,862.12 is: 4,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.72 : 7,796.16 = 2,862.12 : x
  2. Step 2: Convert to fraction form
    5,205.72/7,796.16 = 2,862.12/x
  3. Step 3: Cross multiply
    5,205.72x = 7,796.16 × 2,862.12
  4. Step 4: Simplify right side
    5,205.72x = 22,313,545.46
  5. Step 5: Solve for x
    x = 22,313,545.46/5,205.72
  6. Step 6: Final answer
    x = 4,286.35

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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.