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Finding the Fourth Proportional to 3,629.56, 5,446.62 and 1,321

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Solution

The fourth proportional to 3,629.56, 5,446.62 and 1,321 is: 1,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.56 : 5,446.62 = 1,321 : x
  2. Step 2: Convert to fraction form
    3,629.56/5,446.62 = 1,321/x
  3. Step 3: Cross multiply
    3,629.56x = 5,446.62 × 1,321
  4. Step 4: Simplify right side
    3,629.56x = 7,194,985.02
  5. Step 5: Solve for x
    x = 7,194,985.02/3,629.56
  6. Step 6: Final answer
    x = 1,982.33

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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.