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Finding the Fourth Proportional to 4,241.64, 6,362.28 and 1,644.42

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Solution

The fourth proportional to 4,241.64, 6,362.28 and 1,644.42 is: 2,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.64 : 6,362.28 = 1,644.42 : x
  2. Step 2: Convert to fraction form
    4,241.64/6,362.28 = 1,644.42/x
  3. Step 3: Cross multiply
    4,241.64x = 6,362.28 × 1,644.42
  4. Step 4: Simplify right side
    4,241.64x = 10,462,260.48
  5. Step 5: Solve for x
    x = 10,462,260.48/4,241.64
  6. Step 6: Final answer
    x = 2,466.56

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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.