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Finding the Fourth Proportional to 4,731.38, 7,086.26 and 2,267.96

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Solution

The fourth proportional to 4,731.38, 7,086.26 and 2,267.96 is: 3,396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.38 : 7,086.26 = 2,267.96 : x
  2. Step 2: Convert to fraction form
    4,731.38/7,086.26 = 2,267.96/x
  3. Step 3: Cross multiply
    4,731.38x = 7,086.26 × 2,267.96
  4. Step 4: Simplify right side
    4,731.38x = 16,071,354.23
  5. Step 5: Solve for x
    x = 16,071,354.23/4,731.38
  6. Step 6: Final answer
    x = 3,396.76

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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.