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Finding the Fourth Proportional to 3,971.68, 5,956.37 and 1,599.75

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Solution

The fourth proportional to 3,971.68, 5,956.37 and 1,599.75 is: 2,399.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.68 : 5,956.37 = 1,599.75 : x
  2. Step 2: Convert to fraction form
    3,971.68/5,956.37 = 1,599.75/x
  3. Step 3: Cross multiply
    3,971.68x = 5,956.37 × 1,599.75
  4. Step 4: Simplify right side
    3,971.68x = 9,528,709.91
  5. Step 5: Solve for x
    x = 9,528,709.91/3,971.68
  6. Step 6: Final answer
    x = 2,399.17

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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.