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Finding the Fourth Proportional to 3,196.72, 4,790.71 and 2,416.09

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Solution

The fourth proportional to 3,196.72, 4,790.71 and 2,416.09 is: 3,620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.72 : 4,790.71 = 2,416.09 : x
  2. Step 2: Convert to fraction form
    3,196.72/4,790.71 = 2,416.09/x
  3. Step 3: Cross multiply
    3,196.72x = 4,790.71 × 2,416.09
  4. Step 4: Simplify right side
    3,196.72x = 11,574,786.52
  5. Step 5: Solve for x
    x = 11,574,786.52/3,196.72
  6. Step 6: Final answer
    x = 3,620.83

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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.