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Finding the Fourth Proportional to 3,821.53, 5,734.41 and 2,066.50

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Solution

The fourth proportional to 3,821.53, 5,734.41 and 2,066.50 is: 3,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.53 : 5,734.41 = 2,066.50 : x
  2. Step 2: Convert to fraction form
    3,821.53/5,734.41 = 2,066.50/x
  3. Step 3: Cross multiply
    3,821.53x = 5,734.41 × 2,066.50
  4. Step 4: Simplify right side
    3,821.53x = 11,850,158.27
  5. Step 5: Solve for x
    x = 11,850,158.27/3,821.53
  6. Step 6: Final answer
    x = 3,100.89

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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.