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Finding the Fourth Proportional to 4,136.20, 6,207.10 and 1,671

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Solution

The fourth proportional to 4,136.20, 6,207.10 and 1,671 is: 2,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.20 : 6,207.10 = 1,671 : x
  2. Step 2: Convert to fraction form
    4,136.20/6,207.10 = 1,671/x
  3. Step 3: Cross multiply
    4,136.20x = 6,207.10 × 1,671
  4. Step 4: Simplify right side
    4,136.20x = 10,372,064.10
  5. Step 5: Solve for x
    x = 10,372,064.10/4,136.20
  6. Step 6: Final answer
    x = 2,507.63

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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.