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Finding the Fourth Proportional to 3,956.90, 5,936.73 and 1,492.43

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Solution

The fourth proportional to 3,956.90, 5,936.73 and 1,492.43 is: 2,239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.90 : 5,936.73 = 1,492.43 : x
  2. Step 2: Convert to fraction form
    3,956.90/5,936.73 = 1,492.43/x
  3. Step 3: Cross multiply
    3,956.90x = 5,936.73 × 1,492.43
  4. Step 4: Simplify right side
    3,956.90x = 8,860,146.49
  5. Step 5: Solve for x
    x = 8,860,146.49/3,956.90
  6. Step 6: Final answer
    x = 2,239.16

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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.