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Finding the Fourth Proportional to 3,956.16, 5,931.48 and 2,396.57

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Solution

The fourth proportional to 3,956.16, 5,931.48 and 2,396.57 is: 3,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.16 : 5,931.48 = 2,396.57 : x
  2. Step 2: Convert to fraction form
    3,956.16/5,931.48 = 2,396.57/x
  3. Step 3: Cross multiply
    3,956.16x = 5,931.48 × 2,396.57
  4. Step 4: Simplify right side
    3,956.16x = 14,215,221.85
  5. Step 5: Solve for x
    x = 14,215,221.85/3,956.16
  6. Step 6: Final answer
    x = 3,593.19

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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.