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Finding the Fourth Proportional to 3,706.96, 5,115.73 and 2,449.12

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Solution

The fourth proportional to 3,706.96, 5,115.73 and 2,449.12 is: 3,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.96 : 5,115.73 = 2,449.12 : x
  2. Step 2: Convert to fraction form
    3,706.96/5,115.73 = 2,449.12/x
  3. Step 3: Cross multiply
    3,706.96x = 5,115.73 × 2,449.12
  4. Step 4: Simplify right side
    3,706.96x = 12,529,011.08
  5. Step 5: Solve for x
    x = 12,529,011.08/3,706.96
  6. Step 6: Final answer
    x = 3,379.87

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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.