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Finding the Fourth Proportional to 4,136.46, 6,208.74 and 3,083.46

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Solution

The fourth proportional to 4,136.46, 6,208.74 and 3,083.46 is: 4,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.46 : 6,208.74 = 3,083.46 : x
  2. Step 2: Convert to fraction form
    4,136.46/6,208.74 = 3,083.46/x
  3. Step 3: Cross multiply
    4,136.46x = 6,208.74 × 3,083.46
  4. Step 4: Simplify right side
    4,136.46x = 19,144,401.44
  5. Step 5: Solve for x
    x = 19,144,401.44/4,136.46
  6. Step 6: Final answer
    x = 4,628.21

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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.