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Finding the Fourth Proportional to 3,722.70, 5,138.22 and 2,529.68

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Solution

The fourth proportional to 3,722.70, 5,138.22 and 2,529.68 is: 3,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.70 : 5,138.22 = 2,529.68 : x
  2. Step 2: Convert to fraction form
    3,722.70/5,138.22 = 2,529.68/x
  3. Step 3: Cross multiply
    3,722.70x = 5,138.22 × 2,529.68
  4. Step 4: Simplify right side
    3,722.70x = 12,998,052.37
  5. Step 5: Solve for x
    x = 12,998,052.37/3,722.70
  6. Step 6: Final answer
    x = 3,491.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.