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Finding the Fourth Proportional to 3,302.71, 4,949.20 and 2,956.03

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Solution

The fourth proportional to 3,302.71, 4,949.20 and 2,956.03 is: 4,429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.71 : 4,949.20 = 2,956.03 : x
  2. Step 2: Convert to fraction form
    3,302.71/4,949.20 = 2,956.03/x
  3. Step 3: Cross multiply
    3,302.71x = 4,949.20 × 2,956.03
  4. Step 4: Simplify right side
    3,302.71x = 14,629,983.68
  5. Step 5: Solve for x
    x = 14,629,983.68/3,302.71
  6. Step 6: Final answer
    x = 4,429.69

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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.