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Finding the Fourth Proportional to 3,404.72, 5,111.39 and 2,894.96

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Solution

The fourth proportional to 3,404.72, 5,111.39 and 2,894.96 is: 4,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.72 : 5,111.39 = 2,894.96 : x
  2. Step 2: Convert to fraction form
    3,404.72/5,111.39 = 2,894.96/x
  3. Step 3: Cross multiply
    3,404.72x = 5,111.39 × 2,894.96
  4. Step 4: Simplify right side
    3,404.72x = 14,797,251.27
  5. Step 5: Solve for x
    x = 14,797,251.27/3,404.72
  6. Step 6: Final answer
    x = 4,346.11

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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.