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Finding the Fourth Proportional to 4,286.97, 5,916.38 and 2,398.73

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Solution

The fourth proportional to 4,286.97, 5,916.38 and 2,398.73 is: 3,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.97 : 5,916.38 = 2,398.73 : x
  2. Step 2: Convert to fraction form
    4,286.97/5,916.38 = 2,398.73/x
  3. Step 3: Cross multiply
    4,286.97x = 5,916.38 × 2,398.73
  4. Step 4: Simplify right side
    4,286.97x = 14,191,800.02
  5. Step 5: Solve for x
    x = 14,191,800.02/4,286.97
  6. Step 6: Final answer
    x = 3,310.45

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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.