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Finding the Fourth Proportional to 3,817.96, 5,724.02 and 2,644.58

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Solution

The fourth proportional to 3,817.96, 5,724.02 and 2,644.58 is: 3,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.96 : 5,724.02 = 2,644.58 : x
  2. Step 2: Convert to fraction form
    3,817.96/5,724.02 = 2,644.58/x
  3. Step 3: Cross multiply
    3,817.96x = 5,724.02 × 2,644.58
  4. Step 4: Simplify right side
    3,817.96x = 15,137,628.81
  5. Step 5: Solve for x
    x = 15,137,628.81/3,817.96
  6. Step 6: Final answer
    x = 3,964.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.