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Finding the Fourth Proportional to 3,817.77, 5,725.27 and 2,997.64

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Solution

The fourth proportional to 3,817.77, 5,725.27 and 2,997.64 is: 4,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.77 : 5,725.27 = 2,997.64 : x
  2. Step 2: Convert to fraction form
    3,817.77/5,725.27 = 2,997.64/x
  3. Step 3: Cross multiply
    3,817.77x = 5,725.27 × 2,997.64
  4. Step 4: Simplify right side
    3,817.77x = 17,162,309.27
  5. Step 5: Solve for x
    x = 17,162,309.27/3,817.77
  6. Step 6: Final answer
    x = 4,495.38

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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.