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Finding the Fourth Proportional to 4,050, 5,589.81 and 2,281.64

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Solution

The fourth proportional to 4,050, 5,589.81 and 2,281.64 is: 3,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,050 : 5,589.81 = 2,281.64 : x
  2. Step 2: Convert to fraction form
    4,050/5,589.81 = 2,281.64/x
  3. Step 3: Cross multiply
    4,050x = 5,589.81 × 2,281.64
  4. Step 4: Simplify right side
    4,050x = 12,753,906.14
  5. Step 5: Solve for x
    x = 12,753,906.14/4,050
  6. Step 6: Final answer
    x = 3,149.11

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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.