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Finding the Fourth Proportional to 3,404.96, 4,694.96 and 2,906.72

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Solution

The fourth proportional to 3,404.96, 4,694.96 and 2,906.72 is: 4,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.96 : 4,694.96 = 2,906.72 : x
  2. Step 2: Convert to fraction form
    3,404.96/4,694.96 = 2,906.72/x
  3. Step 3: Cross multiply
    3,404.96x = 4,694.96 × 2,906.72
  4. Step 4: Simplify right side
    3,404.96x = 13,646,934.13
  5. Step 5: Solve for x
    x = 13,646,934.13/3,404.96
  6. Step 6: Final answer
    x = 4,007.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.