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Finding the Fourth Proportional to 3,779.87, 5,221.46 and 3,196.67

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Solution

The fourth proportional to 3,779.87, 5,221.46 and 3,196.67 is: 4,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.87 : 5,221.46 = 3,196.67 : x
  2. Step 2: Convert to fraction form
    3,779.87/5,221.46 = 3,196.67/x
  3. Step 3: Cross multiply
    3,779.87x = 5,221.46 × 3,196.67
  4. Step 4: Simplify right side
    3,779.87x = 16,691,266.42
  5. Step 5: Solve for x
    x = 16,691,266.42/3,779.87
  6. Step 6: Final answer
    x = 4,415.84

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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.