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Finding the Fourth Proportional to 3,665.70, 5,488.83 and 1,930.68

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Solution

The fourth proportional to 3,665.70, 5,488.83 and 1,930.68 is: 2,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.70 : 5,488.83 = 1,930.68 : x
  2. Step 2: Convert to fraction form
    3,665.70/5,488.83 = 1,930.68/x
  3. Step 3: Cross multiply
    3,665.70x = 5,488.83 × 1,930.68
  4. Step 4: Simplify right side
    3,665.70x = 10,597,174.30
  5. Step 5: Solve for x
    x = 10,597,174.30/3,665.70
  6. Step 6: Final answer
    x = 2,890.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.