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Finding the Fourth Proportional to 5,244.96, 7,863.84 and 1,957.44

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Solution

The fourth proportional to 5,244.96, 7,863.84 and 1,957.44 is: 2,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.96 : 7,863.84 = 1,957.44 : x
  2. Step 2: Convert to fraction form
    5,244.96/7,863.84 = 1,957.44/x
  3. Step 3: Cross multiply
    5,244.96x = 7,863.84 × 1,957.44
  4. Step 4: Simplify right side
    5,244.96x = 15,392,994.97
  5. Step 5: Solve for x
    x = 15,392,994.97/5,244.96
  6. Step 6: Final answer
    x = 2,934.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.