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Finding the Fourth Proportional to 3,956.87, 5,931.43 and 2,202.71

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Solution

The fourth proportional to 3,956.87, 5,931.43 and 2,202.71 is: 3,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.87 : 5,931.43 = 2,202.71 : x
  2. Step 2: Convert to fraction form
    3,956.87/5,931.43 = 2,202.71/x
  3. Step 3: Cross multiply
    3,956.87x = 5,931.43 × 2,202.71
  4. Step 4: Simplify right side
    3,956.87x = 13,065,220.18
  5. Step 5: Solve for x
    x = 13,065,220.18/3,956.87
  6. Step 6: Final answer
    x = 3,301.91

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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.