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Finding the Fourth Proportional to 5,197.38, 7,796.52 and 2,235.96

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Solution

The fourth proportional to 5,197.38, 7,796.52 and 2,235.96 is: 3,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.38 : 7,796.52 = 2,235.96 : x
  2. Step 2: Convert to fraction form
    5,197.38/7,796.52 = 2,235.96/x
  3. Step 3: Cross multiply
    5,197.38x = 7,796.52 × 2,235.96
  4. Step 4: Simplify right side
    5,197.38x = 17,432,706.86
  5. Step 5: Solve for x
    x = 17,432,706.86/5,197.38
  6. Step 6: Final answer
    x = 3,354.13

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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.