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Finding the Fourth Proportional to 3,956.64, 5,936.67 and 1,875.48

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Solution

The fourth proportional to 3,956.64, 5,936.67 and 1,875.48 is: 2,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.64 : 5,936.67 = 1,875.48 : x
  2. Step 2: Convert to fraction form
    3,956.64/5,936.67 = 1,875.48/x
  3. Step 3: Cross multiply
    3,956.64x = 5,936.67 × 1,875.48
  4. Step 4: Simplify right side
    3,956.64x = 11,134,105.85
  5. Step 5: Solve for x
    x = 11,134,105.85/3,956.64
  6. Step 6: Final answer
    x = 2,814.03

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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.