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Finding the Fourth Proportional to 3,641.47, 5,463.57 and 2,181.64

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Solution

The fourth proportional to 3,641.47, 5,463.57 and 2,181.64 is: 3,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.47 : 5,463.57 = 2,181.64 : x
  2. Step 2: Convert to fraction form
    3,641.47/5,463.57 = 2,181.64/x
  3. Step 3: Cross multiply
    3,641.47x = 5,463.57 × 2,181.64
  4. Step 4: Simplify right side
    3,641.47x = 11,919,542.85
  5. Step 5: Solve for x
    x = 11,919,542.85/3,641.47
  6. Step 6: Final answer
    x = 3,273.28

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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.