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Finding the Fourth Proportional to 5,244.50, 7,863.10 and 1,956.71

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Solution

The fourth proportional to 5,244.50, 7,863.10 and 1,956.71 is: 2,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.50 : 7,863.10 = 1,956.71 : x
  2. Step 2: Convert to fraction form
    5,244.50/7,863.10 = 1,956.71/x
  3. Step 3: Cross multiply
    5,244.50x = 7,863.10 × 1,956.71
  4. Step 4: Simplify right side
    5,244.50x = 15,385,806.40
  5. Step 5: Solve for x
    x = 15,385,806.40/5,244.50
  6. Step 6: Final answer
    x = 2,933.70

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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.