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Finding the Fourth Proportional to 3,722.36, 5,123.97 and 3,217.98

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Solution

The fourth proportional to 3,722.36, 5,123.97 and 3,217.98 is: 4,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.36 : 5,123.97 = 3,217.98 : x
  2. Step 2: Convert to fraction form
    3,722.36/5,123.97 = 3,217.98/x
  3. Step 3: Cross multiply
    3,722.36x = 5,123.97 × 3,217.98
  4. Step 4: Simplify right side
    3,722.36x = 16,488,832.98
  5. Step 5: Solve for x
    x = 16,488,832.98/3,722.36
  6. Step 6: Final answer
    x = 4,429.67

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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.