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Finding the Fourth Proportional to 3,620.32, 5,421.29 and 3,033.78

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Solution

The fourth proportional to 3,620.32, 5,421.29 and 3,033.78 is: 4,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.32 : 5,421.29 = 3,033.78 : x
  2. Step 2: Convert to fraction form
    3,620.32/5,421.29 = 3,033.78/x
  3. Step 3: Cross multiply
    3,620.32x = 5,421.29 × 3,033.78
  4. Step 4: Simplify right side
    3,620.32x = 16,446,965.68
  5. Step 5: Solve for x
    x = 16,446,965.68/3,620.32
  6. Step 6: Final answer
    x = 4,542.96

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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.