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Finding the Fourth Proportional to 4,956.62, 7,434.92 and 1,493.87

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Solution

The fourth proportional to 4,956.62, 7,434.92 and 1,493.87 is: 2,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.62 : 7,434.92 = 1,493.87 : x
  2. Step 2: Convert to fraction form
    4,956.62/7,434.92 = 1,493.87/x
  3. Step 3: Cross multiply
    4,956.62x = 7,434.92 × 1,493.87
  4. Step 4: Simplify right side
    4,956.62x = 11,106,759.30
  5. Step 5: Solve for x
    x = 11,106,759.30/4,956.62
  6. Step 6: Final answer
    x = 2,240.80

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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.