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Finding the Fourth Proportional to 3,617.90, 5,412.45 and 3,136.30

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Solution

The fourth proportional to 3,617.90, 5,412.45 and 3,136.30 is: 4,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.90 : 5,412.45 = 3,136.30 : x
  2. Step 2: Convert to fraction form
    3,617.90/5,412.45 = 3,136.30/x
  3. Step 3: Cross multiply
    3,617.90x = 5,412.45 × 3,136.30
  4. Step 4: Simplify right side
    3,617.90x = 16,975,066.94
  5. Step 5: Solve for x
    x = 16,975,066.94/3,617.90
  6. Step 6: Final answer
    x = 4,691.97

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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.