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Finding the Fourth Proportional to 4,241.20, 6,364.20 and 1,644.32

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Solution

The fourth proportional to 4,241.20, 6,364.20 and 1,644.32 is: 2,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.20 : 6,364.20 = 1,644.32 : x
  2. Step 2: Convert to fraction form
    4,241.20/6,364.20 = 1,644.32/x
  3. Step 3: Cross multiply
    4,241.20x = 6,364.20 × 1,644.32
  4. Step 4: Simplify right side
    4,241.20x = 10,464,781.34
  5. Step 5: Solve for x
    x = 10,464,781.34/4,241.20
  6. Step 6: Final answer
    x = 2,467.41

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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.