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Finding the Fourth Proportional to 3,947, 5,446.90 and 2,375.12

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Solution

The fourth proportional to 3,947, 5,446.90 and 2,375.12 is: 3,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947 : 5,446.90 = 2,375.12 : x
  2. Step 2: Convert to fraction form
    3,947/5,446.90 = 2,375.12/x
  3. Step 3: Cross multiply
    3,947x = 5,446.90 × 2,375.12
  4. Step 4: Simplify right side
    3,947x = 12,937,041.13
  5. Step 5: Solve for x
    x = 12,937,041.13/3,947
  6. Step 6: Final answer
    x = 3,277.69

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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.