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Finding the Fourth Proportional to 3,822.66, 5,735.94 and 1,742.37

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Solution

The fourth proportional to 3,822.66, 5,735.94 and 1,742.37 is: 2,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.66 : 5,735.94 = 1,742.37 : x
  2. Step 2: Convert to fraction form
    3,822.66/5,735.94 = 1,742.37/x
  3. Step 3: Cross multiply
    3,822.66x = 5,735.94 × 1,742.37
  4. Step 4: Simplify right side
    3,822.66x = 9,994,129.78
  5. Step 5: Solve for x
    x = 9,994,129.78/3,822.66
  6. Step 6: Final answer
    x = 2,614.44

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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.