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Finding the Fourth Proportional to 3,891.87, 5,837.85 and 3,074.49

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Solution

The fourth proportional to 3,891.87, 5,837.85 and 3,074.49 is: 4,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.87 : 5,837.85 = 3,074.49 : x
  2. Step 2: Convert to fraction form
    3,891.87/5,837.85 = 3,074.49/x
  3. Step 3: Cross multiply
    3,891.87x = 5,837.85 × 3,074.49
  4. Step 4: Simplify right side
    3,891.87x = 17,948,411.45
  5. Step 5: Solve for x
    x = 17,948,411.45/3,891.87
  6. Step 6: Final answer
    x = 4,611.77

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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.