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Finding the Fourth Proportional to 3,956.09, 5,934.12 and 1,491.46

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Solution

The fourth proportional to 3,956.09, 5,934.12 and 1,491.46 is: 2,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.09 : 5,934.12 = 1,491.46 : x
  2. Step 2: Convert to fraction form
    3,956.09/5,934.12 = 1,491.46/x
  3. Step 3: Cross multiply
    3,956.09x = 5,934.12 × 1,491.46
  4. Step 4: Simplify right side
    3,956.09x = 8,850,487.78
  5. Step 5: Solve for x
    x = 8,850,487.78/3,956.09
  6. Step 6: Final answer
    x = 2,237.18

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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.