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Finding the Fourth Proportional to 3,947.81, 5,447.16 and 2,376

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Solution

The fourth proportional to 3,947.81, 5,447.16 and 2,376 is: 3,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.81 : 5,447.16 = 2,376 : x
  2. Step 2: Convert to fraction form
    3,947.81/5,447.16 = 2,376/x
  3. Step 3: Cross multiply
    3,947.81x = 5,447.16 × 2,376
  4. Step 4: Simplify right side
    3,947.81x = 12,942,452.16
  5. Step 5: Solve for x
    x = 12,942,452.16/3,947.81
  6. Step 6: Final answer
    x = 3,278.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.