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Finding the Fourth Proportional to 3,728.44, 5,593.43 and 1,537.32

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Solution

The fourth proportional to 3,728.44, 5,593.43 and 1,537.32 is: 2,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.44 : 5,593.43 = 1,537.32 : x
  2. Step 2: Convert to fraction form
    3,728.44/5,593.43 = 1,537.32/x
  3. Step 3: Cross multiply
    3,728.44x = 5,593.43 × 1,537.32
  4. Step 4: Simplify right side
    3,728.44x = 8,598,891.81
  5. Step 5: Solve for x
    x = 8,598,891.81/3,728.44
  6. Step 6: Final answer
    x = 2,306.30

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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.