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Finding the Fourth Proportional to 3,678.62, 5,074.25 and 2,351.84

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Solution

The fourth proportional to 3,678.62, 5,074.25 and 2,351.84 is: 3,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.62 : 5,074.25 = 2,351.84 : x
  2. Step 2: Convert to fraction form
    3,678.62/5,074.25 = 2,351.84/x
  3. Step 3: Cross multiply
    3,678.62x = 5,074.25 × 2,351.84
  4. Step 4: Simplify right side
    3,678.62x = 11,933,786.99
  5. Step 5: Solve for x
    x = 11,933,786.99/3,678.62
  6. Step 6: Final answer
    x = 3,244.10

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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.