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Finding the Fourth Proportional to 3,914.82, 5,874.11 and 1,723.25

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Solution

The fourth proportional to 3,914.82, 5,874.11 and 1,723.25 is: 2,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.82 : 5,874.11 = 1,723.25 : x
  2. Step 2: Convert to fraction form
    3,914.82/5,874.11 = 1,723.25/x
  3. Step 3: Cross multiply
    3,914.82x = 5,874.11 × 1,723.25
  4. Step 4: Simplify right side
    3,914.82x = 10,122,522.07
  5. Step 5: Solve for x
    x = 10,122,522.07/3,914.82
  6. Step 6: Final answer
    x = 2,585.69

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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.