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Finding the Fourth Proportional to 4,241.62, 6,361.62 and 1,775.44

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Solution

The fourth proportional to 4,241.62, 6,361.62 and 1,775.44 is: 2,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.62 : 6,361.62 = 1,775.44 : x
  2. Step 2: Convert to fraction form
    4,241.62/6,361.62 = 1,775.44/x
  3. Step 3: Cross multiply
    4,241.62x = 6,361.62 × 1,775.44
  4. Step 4: Simplify right side
    4,241.62x = 11,294,674.61
  5. Step 5: Solve for x
    x = 11,294,674.61/4,241.62
  6. Step 6: Final answer
    x = 2,662.82

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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.