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Finding the Fourth Proportional to 4,459.87, 6,689.81 and 2,149.75

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Solution

The fourth proportional to 4,459.87, 6,689.81 and 2,149.75 is: 3,224.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.87 : 6,689.81 = 2,149.75 : x
  2. Step 2: Convert to fraction form
    4,459.87/6,689.81 = 2,149.75/x
  3. Step 3: Cross multiply
    4,459.87x = 6,689.81 × 2,149.75
  4. Step 4: Simplify right side
    4,459.87x = 14,381,419.05
  5. Step 5: Solve for x
    x = 14,381,419.05/4,459.87
  6. Step 6: Final answer
    x = 3,224.63

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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.