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Finding the Fourth Proportional to 4,008.65, 5,997.20 and 3,541.14

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Solution

The fourth proportional to 4,008.65, 5,997.20 and 3,541.14 is: 5,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008.65 : 5,997.20 = 3,541.14 : x
  2. Step 2: Convert to fraction form
    4,008.65/5,997.20 = 3,541.14/x
  3. Step 3: Cross multiply
    4,008.65x = 5,997.20 × 3,541.14
  4. Step 4: Simplify right side
    4,008.65x = 21,236,907.10
  5. Step 5: Solve for x
    x = 21,236,907.10/4,008.65
  6. Step 6: Final answer
    x = 5,297.78

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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.