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Finding the Fourth Proportional to 4,741.96, 7,107 and 3,650.44

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Solution

The fourth proportional to 4,741.96, 7,107 and 3,650.44 is: 5,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.96 : 7,107 = 3,650.44 : x
  2. Step 2: Convert to fraction form
    4,741.96/7,107 = 3,650.44/x
  3. Step 3: Cross multiply
    4,741.96x = 7,107 × 3,650.44
  4. Step 4: Simplify right side
    4,741.96x = 25,943,677.08
  5. Step 5: Solve for x
    x = 25,943,677.08/4,741.96
  6. Step 6: Final answer
    x = 5,471.09

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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.